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RESEARCH PRODUCT

Self-improvement of pointwise Hardy inequality

Antti V. VähäkangasSylvester Eriksson-bique

subject

Pure mathematicsInequalityGeneral Mathematicsmedia_common.quotation_subjectCharacterization (mathematics)Mathematics - Analysis of PDEsuniform fatnessClassical Analysis and ODEs (math.CA)FOS: Mathematicsepäyhtälötpointwise Hardy inequalitymedia_commonMathematicsPointwiseosittaisdifferentiaaliyhtälötSelf improvementApplied Mathematicsmetric spacemetriset avaruudetMetric spaceMathematics - Classical Analysis and ODEsself-improvementMaximal functionpotentiaaliteoria31C15 (Primary) 31E05 35A23 (Secondary)Analysis of PDEs (math.AP)

description

We prove the self-improvement of a pointwise p p -Hardy inequality. The proof relies on maximal function techniques and a characterization of the inequality by curves.

yearjournalcountryeditionlanguage
2019-04-04
https://dx.doi.org/10.48550/arxiv.1810.07614