Double exponential integrability, Bessel potentials and embedding theorems
Studia Mathematica, Tome 115 (1995) no. 2, pp. 151-181
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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:
Bessel potential, Riesz potential, generalized Lorentz-Zygmund spaces, exponential integrability, Hardy inequality, Orlicz spaces, Bessel potential spaces
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author = {David E. Edmunds and and },
title = {Double exponential integrability, {Bessel} potentials and embedding theorems},
journal = {Studia Mathematica},
pages = {151--181},
year = {1995},
volume = {115},
number = {2},
doi = {10.4064/sm-115-2-151-181},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-115-2-151-181/}
}
TY - JOUR AU - David E. Edmunds AU - AU - TI - Double exponential integrability, Bessel potentials and embedding theorems JO - Studia Mathematica PY - 1995 SP - 151 EP - 181 VL - 115 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-115-2-151-181/ DO - 10.4064/sm-115-2-151-181 LA - en ID - 10_4064_sm_115_2_151_181 ER -
%0 Journal Article %A David E. Edmunds %A %A %T Double exponential integrability, Bessel potentials and embedding theorems %J Studia Mathematica %D 1995 %P 151-181 %V 115 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4064/sm-115-2-151-181/ %R 10.4064/sm-115-2-151-181 %G en %F 10_4064_sm_115_2_151_181
David E. Edmunds; ; . Double exponential integrability, Bessel potentials and embedding theorems. Studia Mathematica, Tome 115 (1995) no. 2, pp. 151-181. doi: 10.4064/sm-115-2-151-181
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