Search results for " Secondary 42B25"

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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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