An extension of Hedberg's convolution inequality and applications

DOI10.1006/jmaa.1998.6092zbMath0914.42014OpenAlexW2072682284MaRDI QIDQ1273693

Andrea Cianchi, Bianca Stroffolini

Publication date: 27 April 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6092

zbMATH Keywords

maximal operatorOrlicz spacesRiesz potentialHedberg's convolution inequality

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)

Related Items (8)

Differentiability properties of Orlicz-Sobolev functions ⋮ Pointwise estimates to the modified Riesz potential ⋮ Vanishing exponential integrability for Riesz potentials in Morrey–Orlicz spaces ⋮ A direct approach to Orlicz-Sobolev capacity ⋮ Pointwise behaviour of Orlicz-Sobolev functions ⋮ Removability of zero modular capacity sets ⋮ Differentiability properties of functions from higher-order Orlicz-Sobolev spaces ⋮ Vanishing exponential integrability for functions whose gradients belong to \(L^n(\log(e+L))^{\alpha}\)

Cites Work

• Change of variables for absolutely continuous functions
• Orlicz-Sobolev spaces and imbedding theorems
• Indices for the Orlicz spaces
• Strong and Weak Type Inequalities for Some Classical Operators in Orlicz Spaces
• A sharp embedding theorem for Orlicz-Sobolev spaces
• On Certain Convolution Inequalities
• Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces
• Sobolev imbedding theorems in borderline cases
• Fractional Integration in Orlicz Spaces. I
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