0000000000116663

AUTHOR

Stephen M. Buckley

showing 3 related works from this author

Fractional integration, differentiation, and weighted Bergman spaces

1999

We study the action of fractional differentiation and integration on weighted Bergman spaces and also the Taylor coeffficients of functions in certain subclasses of these spaces. We then derive several criteria for the multipliers between such spaces, complementing and extending various recent results. Univalent Bergman functions are also considered.

Pure mathematicsMathematics::Complex VariablesGeneral Mathematics010102 general mathematicsMathematical analysisMathematical statisticsTaylor coefficientsMathematics & Statistics01 natural sciencesAction (physics)010101 applied mathematicsFractional differentiationBergman space0101 mathematicsMathematicsBergman kernel
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Orlicz-Hardy inequalities

2004

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

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

1995

We establish necessary conditions for the validity of Sobolev-Poincaré type inequalities. We give a geometric characterisation for the validity of this inequality for simply connected plane domains.

Sobolev spacesymbols.namesakePlane (geometry)General MathematicsSimply connected spaceMathematical analysisPoincaré conjecturesymbolsMathematics & StatisticsType (model theory)MathematicsMathematical Research Letters
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