Orlicz-Sobolev capacity of balls

zbMath1277.46016MaRDI QIDQ351761

Takao Ohno, Tetsu Shimomura, Yoshihiro Mizuta, Toshihide Futamura

Publication date: 10 July 2013

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1359762401

zbMATH Keywords

Orlicz-Sobolev capacity

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) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (2)

Capacity for potentials of functions in Musielak-Orlicz spaces ⋮ Weighted Orlicz-Riesz capacity of balls

Cites Work

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• Continuity properties of Riesz potentials of Orlicz functions
• Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes
• Estimates for certain Orlicz-Sobolev capacities of an Euclidean ball
• Continuity properties of potentials and Beppo-Levi-Deny functions
• Vanishing exponential integrability for functions whose gradients belong to \(L^n(\log(e+L))^{\alpha}\)
• Orlicz-Sobolev capacities and their null sets
• On null sets of Sobolev-Orlicz capacities
• Weakly Differentiable Functions
• Differentiability and Holder continuity of Riesz potentials of Orlicz functions
• Capacity estimates
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
• Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials

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