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RESEARCH PRODUCT

Pointwise Hardy inequalities and uniformly fat sets

Juha Lehrbäck

subject

PointwisePure mathematicsInequalityApplied MathematicsGeneral Mathematicsmedia_common.quotation_subjectMathematical analysisBoundary (topology)Domain (mathematical analysis)media_commonMathematicsComplement (set theory)

description

We prove that it is equivalent for domain in R n \mathbb {R}^n to admit the pointwise p p -Hardy inequality, have uniformly p p -fat complement, or satisfy a uniform inner boundary density condition.

https://doi.org/10.1090/s0002-9939-08-09261-7