Estimates for certain Orlicz-Sobolev capacities of an Euclidean ball

DOI10.1016/j.na.2010.02.011zbMath1187.31004OpenAlexW2083141287MaRDI QIDQ965045

Jani Joensuu

Publication date: 21 April 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.02.011

zbMATH Keywords

Orlicz spacesOrlicz-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) 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)

Related Items (3)

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

Cites Work

• 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
• Change of variables for absolutely continuous functions
• On null sets of Sobolev-Orlicz capacities
• SPECTRAL THEORY AND EMBEDDINGS OF SOBOLEV SPACES
• Differentiability and Holder continuity of Riesz potentials of Orlicz functions
• An approximation theorem in higher order Orlicz-Sobolev spaces and applications
• Capacity estimates
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