The cone of rearrangements for generalized Bessel potentials

DOI10.1134/S0081543808010100zbMath1233.31003OpenAlexW2075423569MaRDI QIDQ666552

Mikhail L. Goldman

Publication date: 8 March 2012

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543808010100

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)

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Optimal embeddings of generalized Bessel and Riesz potentials ⋮ On the theory of spaces of generalized Bessel potentials ⋮ Inversion of Hyperbolic B-Potentials ⋮ Rearrangement invariant envelopes of generalized Bessel and Riesz potentials ⋮ On the cones of rearrangements for generalized Bessel and Riesz potentials ⋮ Generalized Bessel potential and its application to non-homogeneous singular screened Poisson equation

Cites Work

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• Sobolev type inequalities in ultrasymmetric spaces with applications to Orlicz-Sobolev embeddings
• Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
• Sobolev type embeddings in the limiting case
• Sobolev embeddings into BMO, VMO, and \(L_{\infty}\)
• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• Characterisations of function spaces of generalised smoothness
• Convolution operators and L(p, q) spaces
• Recent developments in the theory of Lorentz spaces and weighted inequalities
• Spaces of Functions of Generalized Smoothness
• A sharp embedding theorem for Orlicz-Sobolev spaces

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