Compact and continuous embeddings of logarithmic Bessel potential spaces

David E. Edmunds; Petr Gurka; Bohumír Opic

Studia Mathematica (2005)

  • Volume: 168, Issue: 3, page 229-250
  • ISSN: 0039-3223

Abstract

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We establish compact and continuous embeddings for Bessel potential spaces modelled upon generalized Lorentz-Zygmund spaces. The target spaces are either of Lorentz-Zygmund or Hölder type.

How to cite

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David E. Edmunds, Petr Gurka, and Bohumír Opic. "Compact and continuous embeddings of logarithmic Bessel potential spaces." Studia Mathematica 168.3 (2005): 229-250. <http://eudml.org/doc/284782>.

@article{DavidE2005,
abstract = {We establish compact and continuous embeddings for Bessel potential spaces modelled upon generalized Lorentz-Zygmund spaces. The target spaces are either of Lorentz-Zygmund or Hölder type.},
author = {David E. Edmunds, Petr Gurka, Bohumír Opic},
journal = {Studia Mathematica},
keywords = {Bessel potential spaces; generalized Lorentz–Zygmund spaces; embeddings},
language = {eng},
number = {3},
pages = {229-250},
title = {Compact and continuous embeddings of logarithmic Bessel potential spaces},
url = {http://eudml.org/doc/284782},
volume = {168},
year = {2005},
}

TY - JOUR
AU - David E. Edmunds
AU - Petr Gurka
AU - Bohumír Opic
TI - Compact and continuous embeddings of logarithmic Bessel potential spaces
JO - Studia Mathematica
PY - 2005
VL - 168
IS - 3
SP - 229
EP - 250
AB - We establish compact and continuous embeddings for Bessel potential spaces modelled upon generalized Lorentz-Zygmund spaces. The target spaces are either of Lorentz-Zygmund or Hölder type.
LA - eng
KW - Bessel potential spaces; generalized Lorentz–Zygmund spaces; embeddings
UR - http://eudml.org/doc/284782
ER -

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