6533b834fe1ef96bd129d435

RESEARCH PRODUCT

Hardy’s inequality and the boundary size

Xiao ZhongPekka Koskela

subject

Hölder's inequalityKantorovich inequalityMathematics::Functional AnalysisPure mathematicsInequalityMathematics::Complex VariablesApplied MathematicsGeneral Mathematicsmedia_common.quotation_subjectMathematical analysisMathematics::Classical Analysis and ODEsBoundary (topology)Mathematics::Spectral TheoryLog sum inequalityRearrangement inequalityCauchy–Schwarz inequalityHardy's inequalityMathematicsmedia_common

description

We establish a self-improving property of the Hardy inequality and an estimate on the size of the boundary of a domain supporting a Hardy inequality.

yearjournalcountryeditionlanguage
2002-07-26Proceedings of the American Mathematical Society
https://doi.org/10.1090/s0002-9939-02-06711-4