Browsing by Subject "SPACES"

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  • Onninen, Jani; Pankka, Pekka (2021)
    We show that, for each 1 S-3 in the Sobolev class W-1,W-p(S-3, S-3).
  • Elands, B.H.M.; Vierikko, K.; Andersson, E.; Fischer, L.K.; Gonçalves, P.; Haase, D.; Kowarik, I.; Luz, A.C.; Niemelä, J.; Santos-Reis, M.; Wiersum, K.F. (2019)
    Biocultural diversity is an evolving perspective for studying the interrelatedness between people and their natural environment, not only in ecoregional hotspots and cultural landscapes, but also in urban green spaces. Developed in the 1990s in order to denote the diversity of life in all its manifestations. biological, cultural and linguistic. co-evolving within complex socio-ecological systems such as cities, biocultural diversity was identified in the GREEN SURGE project as a response to recent challenges cities face. Most important challenges are the loss of nature and degradation of ecosystems in and around cities as well as an alienation of urban residents from and loss of interaction with nature. The notion of biocultural diversity is dynamic in nature and takes local values and practices of relating to biodiversity of different cultural groups as a starting point for sustainable living with biodiversity. The issue is not only how to preserve or restore biocultural practices and values, but also how to modify, adapt and create biocultural diversity in ways that resonate with urban transformations. As future societies will largely diverge from today's societies, the cultural perspective on living with (urban) nature needs careful reconsideration. Biocultural diversity is not conceived as a definite concept providing prescriptions of what to see and study, but as a reflexive and sensitising concept that can be used to assess the different values and knowledge of people that reflect how they live with biodiversity. This short communication paper introduces a conceptual framework for studying the multi-dimensional features of biocultural diversity in cities along the three key dimensions of materialized, lived and stewardship, being departure points from which biocultural diversity can be studied.
  • Katsui, Hisayo; Kazakunova, Gulmira; Mojtahedi, Mina C. (2020)
    The main aim of this paper is to tease out the historical and deeply rooted ethical standards, spirituality, and social values that have long supported the social service system in Kyrgyzstan, which, today, faces pressure to align with the United Nations Convention on the Rights of Persons with Disabilities. The data are based on an intervention conducted as part of the European Union‐Social Protection Systems programme in Kyrgyzstan between 2017 and 2018 where 30 university lecturers were part of. Interviews both to the Kyrgyz trainers with disabilities and to the trainees of the university lecturers as well as follow‐up survey conducted in 2019 form important part of data for this paper. We first investigate the conventional ethical standards, spiritual explanations, and social values related to disabilities within the Kyrgyz social protection system and social services. We elaborate on the Kyrgyz context of the societal ethics, spirituality, and values around disability in the Kyrgyz university education for social workers. Second, we analyse the transformation of the perception of disability among the university lecturers. We conclude this paper with a discussion on the negotiation between a charity‐based approach that reinforces the stigmatization of disability and a human rights‐based approach that promotes paradigm change, to contribute to global discourse of social change towards disability inclusion.
  • Gilmore, Clifford (2019)
    We identify concrete examples of hypercyclic generalised derivations acting on separable ideals of operators and establish some necessary conditions for their hypercyclicity. We also consider the dynamics of elementary operators acting on particular Banach algebras, which reveals surprising hypercyclic behaviour on the space of bounded linear operators on the Banach space constructed by Argyros and Haydon.
  • Pyyry, Noora; Aiava, Raine (2020)
    In this article, we approach enchantment as a fundamental encounter that incites new worlds. Our aim is to add to the recent discussion on enchantment as an immersive, life affirming moment. We outline enchantment as a radical reordering of the world during which there is both a profound loss of meaning and a sudden gaining of significance. Enchantment is a highly affectual event that uproots the subject, throws it momentarily off balance, outside of time and space. Enchantment, then, is not only a pleasant experience of being inspired by the world, but an uninvited ontological unfolding of it. This rethinking the world in enchantment can come into being through many different affectual states, including those of a ‘negative’ register. By attending to a vignette of despair, loss, and suffering, we clarify the circulation of affect involved in the disruption and emergence of the subject and, against this background, unpack the simultaneous disconnect and immersion involved in enchantment. An analysis of wonder highlights the deracination of the subject effected in the event and unfolds the ethical and political potential of enchantment: this totalizing, and hence liberatory, reordering brings with it a strong sense that things could be different.
  • Moll, Veera; Kuusi, Hanna (2021)
    Finnish children today enjoy a relatively high level of independent mobility. This article discusses how different urban planning professionals defined children's needs in a post-World War II Helsinki that was undergoing rapid urbanization, and how these discourses relate to childhood memories of the time. The emphasis on family by the planning professionals led to major changes in the city structure, including developed play areas, safer streets and shorter distances to schools. This study suggests that a dominant understanding of the importance of outdoor activities has contributed to the relatively stable level of independent mobility of the children in Helsinki.
  • Sandström, Niclas; Nevgi, Anne (2020)
    This paper took a pedagogical campus developer’s look into a campus retrofitting process. The paper presents a case study of a major Finnish research-intensive university. The data consist of semi-structured interviews of information-rich key stakeholders identified using snowball sampling method. The findings suggest that co-design should be followed through the whole retrofitting process with sufficient communications between stakeholders. The study introduces the concept of learning landscape reliability, putting digital age basic needs in the centre of learning landscape usability.
  • de la Herran, Ana Grau; Hofmann, Steve (2017)
    A local Tb theorem is an L-2 boundedness criterion by which the question of the global behavior of an operator is reduced to its local behavior, acting on a family of test functions b(Q) indexed by the dyadic cubes. We present two versions of such results, in particular, treating square function operators whose kernels do not satisfy the standard Littlewood-Paley pointwise estimates. As an application of one version of the local Tb theorem, we show how the solvability of the Kato problem (which was implicitly based on local Tb theory) may be deduced from this general criterion.
  • Gilmore, Clifford; Saksman, Eero; Tylli, Hans-Olav (2017)
    We investigate the hypercyclic properties of commutator operators acting on separable Banach ideals of operators. As the main result we prove the commutator map induced by scalar multiples of the backward shift operator fails to be hypercyclic on the space of compact operators on . We also establish several necessary conditions which identify large classes of operators that do not induce hypercyclic commutator maps.
  • Di Plinio, Francesco; Li, Kangwei; Martikainen, Henri; Vuorinen, Emil (2020)
    We develop a general theory of multilinear singular integrals with operator-valued kernels, acting on tuples of UMD Banach spaces. This, in particular, involves investigating multilinear variants of the R-boundedness condition naturally arising in operator-valued theory. We proceed by establishing a suitable representation of multilinear, operator-valued singular integrals in terms of operator-valued dyadic shifts and paraproducts, and studying the boundedness of these model operators via dyadic-probabilistic Banach space-valued analysis. In the bilinear case, we obtain a T(1)-type theorem without any additional assumptions on the Banach spaces other than the necessary UMD. Higher degrees of multilinearity are tackled via a new formulation of the Rademacher maximal function (RMF) condition. In addition to the natural UMD lattice cases, our RMF condition covers suitable tuples of non-commutative L-P spaces. We employ our operator-valued theory to obtain new multilinear, multi-parameter, operator-valued theorems in the natural setting of UMD spaces with property alpha. (C) 2020 Elsevier Inc. All rights reserved.
  • Martikainen, Henri; Mourgoglou, Mihalis; Vuorinen, Emil (2017)
    We aim to showcase the wide applicability and power of the big pieces and suppression methods in the theory of local Tb theorems. The setting is new: we consider conical square functions with cones {x is an element of R-n \ E : |x-y| <2 dist (x, E)} y is an element of E , defined on general closed subsets E subset of R-n supporting a non-homogeneous measure mu. We obtain boundedness criteria in this generality in terms of weak type testing of measures on regular balls B subset of E, which are doubling and of small boundary. Due to the general set E we use metric space methods. Therefore, we also demonstrate the recent techniques from the metric space point of view, and show that they yield the most general known local Tb theorems even with assumptions formulated using balls rather than the abstract dyadic metric cubes.
  • Lerner, Andrei K.; Lorist, Emiel; Ombrosi, Sheldy (2022)
    We obtain a sparse domination principle for an arbitrary family of functions f (x, Q), where x is an element of R-n and Q is a cube in R-n. When applied to operators, this result recovers our recent works [37, 39]. On the other hand, our sparse domination principle can be also applied to non-operator objects. In particular, we show applications to generalised Poincare-Sobolev inequalities, tent spaces and general dyadic sums. Moreover, the flexibility of our result allows us to treat operators that are not localisable in the sense of [39], as we will demonstrate in an application to vectorvalued square functions.
  • Juhola, Sirkku Kaarina (2018)
    In recent years, new planning tools have emerged to aid planners to achieve multiple goals to sustainability. The Green Factor tool has been adopted by some cities to increase the share and effectiveness of green areas. This short communication asks how useful the Green Factor tool is and how it fits with the existing planning procedures regarding green areas through a qualitative case study in the city of Helsinki. The results show that while the tool functions well, improvements could be made in relation to monitoring, for example. Also, an ambitious target set in the tool could encourage or force developers to aim higher with the planning of green areas and construction, but existing regulations challenge its use.
  • Fefferman, Charles; Ivanov, Sergei; Kurylev, Yaroslav; Lassas, Matti; Narayanan, Hariharan (2020)
    We study the geometric Whitney problem on how a Riemannian manifold (M, g) can be constructed to approximate a metric space (X, d(X)). This problem is closely related to manifold interpolation (or manifold reconstruction) where a smooth n-dimensional submanifold S subset of R-m, m > n needs to be constructed to approximate a point cloud in Rm. These questions are encountered in differential geometry, machine learning, and in many inverse problems encountered in applications. The determination of a Riemannian manifold includes the construction of its topology, differentiable structure, and metric. We give constructive solutions to the above problems. Moreover, we characterize the metric spaces that can be approximated, by Riemannian manifolds with bounded geometry: We give sufficient conditions to ensure that a metric space can be approximated, in the Gromov-Hausdorff or quasi-isometric sense, by a Riemannian manifold of a fixed dimension and with bounded diameter, sectional curvature, and injectivity radius. Also, we show that similar conditions, with modified values of parameters, are necessary. As an application of the main results, we give a new characterization of Alexandrov spaces with two-sided curvature bounds. Moreover, we characterize the subsets of Euclidean spaces that can be approximated in the Hausdorff metric by submanifolds of a fixed dimension and with bounded principal curvatures and normal injectivity radius. We develop algorithmic procedures that solve the geometric Whitney problem for a metric space and the manifold reconstruction problem in Euclidean space, and estimate the computational complexity of these procedures. The above interpolation problems are also studied for unbounded metric sets and manifolds. The results for Riemannian manifolds are based on a generalization of the Whitney embedding construction where approximative coordinate charts are embedded in R-m and interpolated to a smooth submanifold.
  • Hanninen, Timo S. (2017)
    In this note, we extend Lerner's local median oscillation decomposition to arbitrary (possibly non-doubling) measures. In the light of the analogy between median and mean oscillation, our extension can be viewed as a median oscillation decomposition adapted to the dyadic (martingale) BMO. As an application of the decomposition, we give an alternative proof for the dyadic (martingale) John-Nirenberg inequality, and for Lacey's domination theorem, which states that each martingale transform is pointwise dominated by a positive dyadic operator of zero complexity. Furthermore, by using Lacey's recent technique, we give an alternative proof for Conde-Alonso and Rey's domination theorem, which states that each positive dyadic operator of arbitrary complexity is pointwise dominated by a positive dyadic operator of zero complexity.
  • Miihkinen, Santeri; Nieminen, Pekka J.; Saksman, Eero; Tylli, Hans-Olav (2018)
    We show that the non-compact generalised analytic Volterra operators T-g, where g is an element of BMOA, have the following structural rigidity property on the Hardy spaces H-P for 1 H-p is l(2)-singular for p not equal 2. (C) 2018 Elsevier Masson SAS. All rights reserved.
  • Järv, Olle; Tominga, Ago; Müürisepp, Kerli; Silm, Siiri (2021)
    Global crises such as the COVID-19 pandemic affect both the functioning of our societies and the daily lives of people. Yet the impact of the crisis and its mitigation measures have exerted disproportionate influence on different population groups. In March – May 2020, COVID-19 mitigation measures such as closures of national borders affected transnational people who cross borders frequently for work, shopping, services, family reasons and socialising. We have examined the influence of the COVID-19 pandemic on the daily lives of transnational Estonians residing in Finland, based on a unique longitudinal smartphone tracking survey. Findings show that besides a drastic but expected decrease in trans-nationals’ spatial mobility, the pandemic has especially affected their cross-border mobility patterns to and time spent in Estonia. Interestingly, during the lockdown, some transnationals decided to stay not in their primary home in Finland, but in Estonia. Mobile phone communication activity followed moderately the downward trend of spatial mobility, but the crisis changed the division of communication partners by country: Finnish contacts diminished, whereas Estonian partners remained active. We reflect on our findings for future research and discuss the applicability of the smart-phone tracking approach for capturing the socio-spatial interactions of transnational people.
  • Kangasniemi, Ilmari; Pankka, Pekka (2019)
    Let f:M -> M be a uniformly quasiregular self-map of a compact, connected, and oriented Riemannian n-manifold M without boundary, n > 2. We show that, for k is an element of{0, horizontal ellipsis ,n}, the induced homomorphism f*:Hk(M;R)-> Hk(M;R), where Hk(M;R) is the kth singular cohomology of M, is complex diagonalizable and the eigenvalues of f* have absolute value (degf)k/n. As an application, we obtain a degree restriction for uniformly quasiregular self-maps of closed manifolds. In the proof of the main theorem, we use a Sobolev-de Rham cohomology based on conformally invariant differential forms and an induced push-forward operator.
  • Fackler, Stephan; Hytönen, Tuomas P.; Lindemulder, Nick (2020)
    We establish Littlewood-Paley decompositions for Muckenhoupt weights in the setting of UMD spaces. As a consequence we obtain two-weight variants of the Mikhlin multiplier theorem for operator-valued multipliers. We also show two-weight estimates for multipliers satisfying Hormander type conditions.
  • Merikoski, Paula (2021)
    This article discusses hospitality towards asylum seekers as a political and contentious act. Accommodating asylum seekers in local homes is one of the pro-asylum mobilisations that emerged across Europe following the 'summer of migration'. Based on interviews with local hosts in Finland, this article demonstrates that offering accommodation is often motivated by an explicit mistrust in state asylum policies and a will to make a statement in support of the right to asylum. Home accommodation challenges the norm of housing asylum seekers in reception centres, isolated from the rest of society. Thus, it provides valuable social and spatial resources in the struggle for asylum. Departing from the understanding that questions of asylum and home are inherently political, and following feminist citizenship theorisation that connects the domestic with the political, this article and the concept contentious hospitality contribute to challenging the discursive division between public and private.