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Embedding theorems for generalized Sobolev spaces

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Publication:1577165
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DOI10.1007/BF02675677zbMath0949.46012MaRDI QIDQ1577165

Aleksandr Sergeevich Romanov

Publication date: 30 August 2000

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

Sobolev spacesmaximal functionembedding theoremBorel measuredoubling condition


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)


Related Items (3)

Sobolev-type functions with variable integrability exponent on metric measure spaces ⋮ On the traces of Sobolev functions on the boundary of an anisotropic cusp ⋮ Generalized Hajłasz-Sobolev classes on ultrametric measure spaces with doubling condition



Cites Work

  • Traces of Sobolev functions on fractal type sets and characterization of extension domains
  • Weighted Hardy spaces
  • Hölder quasicontinuity of Sobolev functions on metric spaces
  • On a generalization of Sobolev spaces
  • Sobolev spaces on an arbitrary metric space


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