Boundedness of non-homogeneous square functions and Lq type testing conditions with $q \in (1,2)$

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dc.contributor.author Martikainen, Henri
dc.contributor.author Mourgoglou, Mihalis
dc.date.accessioned 2018-10-12T10:52:01Z
dc.date.available 2018-10-12T10:52:01Z
dc.date.issued 2015
dc.identifier.citation Martikainen , H & Mourgoglou , M 2015 , ' Boundedness of non-homogeneous square functions and Lq type testing conditions with $q \in (1,2)$ ' , Mathematical Research Letters , vol. 22 , no. 5 , pp. 1417-1457 . https://doi.org/10.4310/MRL.2015.v22.n5.a8
dc.identifier.other PURE: 61081308
dc.identifier.other PURE UUID: 561903ba-2860-4b42-a86d-7e284c8d8aa9
dc.identifier.other Scopus: 84964989071
dc.identifier.other WOS: 000432789400008
dc.identifier.uri http://hdl.handle.net/10138/249340
dc.description.abstract We continue the study of local Tb theorems for square functions defined in the upper half-space (R-+(n+1), mu x dt/t). Here mu is allowed to be a non-homogeneous measure in R-n. In this paper we prove a boundedness result assuming local L-q type testing conditions in the difficult range q is an element of (1, 2). Our theorem is a non-homogeneous version of a result of S. Hofmann valid for the Lebesgue measure. It is also an extension of the recent results of M. Lacey and the first named author where non-homogeneous local L-2 testing conditions have been considered. sv
dc.description.abstract We continue the study of local Tb theorems for square functions defined in the upper half-space (R-+(n+1), mu x dt/t). Here mu is allowed to be a non-homogeneous measure in R-n. In this paper we prove a boundedness result assuming local L-q type testing conditions in the difficult range q is an element of (1, 2). Our theorem is a non-homogeneous version of a result of S. Hofmann valid for the Lebesgue measure. It is also an extension of the recent results of M. Lacey and the first named author where non-homogeneous local L-2 testing conditions have been considered. fi
dc.description.abstract We continue the study of local Tb theorems for square functions defined in the upper half-space (R-+(n+1), mu x dt/t). Here mu is allowed to be a non-homogeneous measure in R-n. In this paper we prove a boundedness result assuming local L-q type testing conditions in the difficult range q is an element of (1, 2). Our theorem is a non-homogeneous version of a result of S. Hofmann valid for the Lebesgue measure. It is also an extension of the recent results of M. Lacey and the first named author where non-homogeneous local L-2 testing conditions have been considered. en
dc.format.extent 41
dc.language.iso eng
dc.relation.ispartof Mathematical Research Letters
dc.rights cc_by_nc
dc.rights.uri info:eu-repo/semantics/closedAccess
dc.subject 111 Mathematics
dc.title Boundedness of non-homogeneous square functions and Lq type testing conditions with $q \in (1,2)$ en
dc.type Article
dc.contributor.organization Department of Mathematics and Statistics
dc.description.reviewstatus Peer reviewed
dc.relation.doi https://doi.org/10.4310/MRL.2015.v22.n5.a8
dc.relation.issn 1073-2780
dc.rights.accesslevel closedAccess
dc.type.version submittedVersion
dc.relation.funder Academy of Finland
dc.relation.grantnumber 266262

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