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ArticleOriginal scientific text

Title

Double exponential integrability, Bessel potentials and embedding theorems

Authors 1, 2, 3

Affiliations

  1. Centre for Mathematical Analysis and its Applications, The University of Sussex, Falmer, Brighton BN1 9QH, England
  2. Department of Mathematics, Czech University of Agriculture, 160 21 Praha 6, Czech Republic
  3. Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Prague 1, Czech Republic.

Abstract

This paper is a continuation of [5] and provides necessary and sufficient conditions for double exponential integrability of the Bessel potential of functions from suitable (generalized) Lorentz-Zygmund spaces. These results are used to establish embedding theorems for Bessel potential spaces which extend Trudinger's result.

Keywords

ENG
Bessel potential, Riesz potential, generalized Lorentz-Zygmund spaces, exponential integrability, Hardy inequality, Orlicz spaces, Bessel potential spaces

Bibliography

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Studia Mathematica
1995/115/2
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Pages:
151-181
Main language of publication
English
Received
1994-09-23
Accepted
1995-03-01
Published
1995
Exact and natural sciences