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Rearrangement invariant envelopes of generalized Bessel and Riesz potentials

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Publication:542254
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DOI10.1134/S1064562408060033zbMath1218.31003MaRDI QIDQ542254

Mikhail L. Goldman

Publication date: 8 June 2011

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

generalized Bessel potentialgeneralized Riesz potential


Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)


Related Items (5)

Optimal embeddings of generalized Bessel and Riesz potentials ⋮ On the theory of spaces of generalized Bessel potentials ⋮ Unnamed Item ⋮ On the cones of rearrangements for generalized Bessel and Riesz potentials ⋮ Optimal embedding of Bessel- and Riesz-type potentials




Cites Work

  • The cone of rearrangements for generalized Bessel potentials
  • Integral properties of generalized Bessel potentials
  • Sobolev type embeddings in the limiting case
  • Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
  • Convolution operators and L(p, q) spaces
  • A sharp embedding theorem for Orlicz-Sobolev spaces
  • Unnamed Item
  • Unnamed Item




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