Search results for "pointwise Hardy inequality"

showing 2 items of 2 documents

Self-improvement of pointwise Hardy inequality

2019

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.

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)
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Self-improvement of weighted pointwise inequalities on open sets

2020

We prove a general self-improvement property for a family of weighted pointwise inequalities on open sets, including pointwise Hardy inequalities with distance weights. For this purpose we introduce and study the classes of $p$-Poincar\'e and $p$-Hardy weights for an open set $\Omega\subset X$, where $X$ is a metric measure space. We also apply the self-improvement of weighted pointwise Hardy inequalities in connection with usual integral versions of Hardy inequalities.

Pure mathematicsPrimary 35A23 Secondary 42B25 31E05Inequalitymedia_common.quotation_subjectMathematics::Classical Analysis and ODEsOpen setSpace (mathematics)Measure (mathematics)Mathematics - Analysis of PDEsmetrinen avaruusClassical Analysis and ODEs (math.CA)FOS: Mathematicspointwise Hardy inequalitymedia_commonMathematicsPointwiseMathematics::Functional AnalysisSelf improvementmetric spaceweightConnection (mathematics)Hardyn epäyhtälöMathematics - Classical Analysis and ODEsself-improvementMetric (mathematics)maximal operatorAnalysisAnalysis of PDEs (math.AP)Journal of Functional Analysis
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