Exponential integrability of Riesz potentials of Orlicz functions

zbMath1281.46035MaRDI QIDQ384319

Tetsu Shimomura, Yoshihiro Mizuta

Publication date: 27 November 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1385129961

zbMATH Keywords

exponential integrabilityRiesz potentials

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

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• Continuity properties of Riesz potentials of Orlicz functions
• Integral representations of Beppo Levi functions and the existence of limits at infinity
• Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space \(L^{p(\cdot)}(\log L)^{q(\cdot)}\)
• Continuity properties of potentials and Beppo-Levi-Deny functions
• Exponential integrability for Riesz potentials of functions in Orlicz classes
• Integral representations, differentiability properties and limits at infinity for Beppo Levi functions
• Differentiability properties of Orlicz-Sobolev functions
• Strong and Weak Type Inequalities for Some Classical Operators in Orlicz Spaces
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Weakly Differentiable Functions
• Differentiability and Holder continuity of Riesz potentials of Orlicz functions
• Sharpness of embeddings in logarithmic Bessel-potential spaces
• On Certain Convolution Inequalities
• Sobolev inequalities of exponential type

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