6533b7d5fe1ef96bd12653d6

RESEARCH PRODUCT

Orlicz-Hardy inequalities

Pekka KoskelaStephen M. Buckley

subject

Pure mathematicsMathematics::Functional AnalysisInequalityGeneral Mathematicsmedia_common.quotation_subjectOrlicz-HardyMathematical statisticsMathematics::Classical Analysis and ODEsMathematics & StatisticsComplement (complexity)Algebra26D1546E30inequalitiesBounded functionEuclidean domainMathematicsmedia_common

description

We relate Orlicz-Hardy inequalities on a bounded Euclidean domain to certain fatness conditions on the complement. In the case of certain log-scale distortions of Ln, this relationship is necessary and sufficient, thus extending results of Ancona, Lewis, and Wannebo. peerReviewed

http://projecteuclid.org/euclid.ijm/1258131053