The modular inequalities for a class of convolution operators on monotone functions

DOI10.1090/S0002-9939-97-03867-7zbMath0894.26009MaRDI QIDQ4372274

Jim Qile Sun

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Orlicz spaceHardy operatorweightmodular inequalityVolterra convolution operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Integral operators (45P05) Integral operators (47G10) Inequalities for sums, series and integrals (26D15)

Related Items (4)

Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by \(L^{p}\)-modulus of smoothness ⋮ Weighted inequalities for Hardy-type operators on the cone of decreasing functions in an Orlicz space ⋮ Inequalities for Hardy-type operators on the cone of decreasing functions in a weighted Orlicz space ⋮ Reduction theorems for weighted integral inequalities on the cone of monotone functions

Cites Work

• Unnamed Item
• Boundedness of classical operators on classical Lorentz spaces
• The Weighted Hardy's Inequality for Nonincreasing Functions
• Weighted Hardy Inequalities for Increasing Functions
• Hardy Operators of Monotone Functions and Sequences in Orlicz Spaces

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