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T1 - Pointwise estimates to the modified Riesz potential
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UR - http://hdl.handle.net/10138/307540
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A1 - Harjulehto, Petteri; Hurri-SyrjÃ¤nen, Ritva
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PB -
Y1 - 2018
LA - eng
AB - In a smooth domain a function can be estimated pointwise by the classical Riesz potential of its gradient. Combining this estimate with the boundedness of the classical Riesz potential yields the optimal Sobolev-Poincar, inequality. We show that this method gives a Sobolev-Poincar, inequality also for irregular domains whenever we use the modified Riesz potential which arise naturally from the geometry of the domain. The exponent of the Sobolev-Poincar, inequality depends on the domain. The Sobo...
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KW - 111 Mathematics; IRREGULAR DOMAINS; ORLICZ SPACES; INEQUALITY; EXTENSION; OPERATORS
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