DOUBLE EXPONENTIAL INTEGRABILITY, BESSEL POTENTIALS AND EMBEDDING-THEOREMS

Authors
EDMUNDS DE GURKA P OPIC B
Citation
De. Edmunds et al., DOUBLE EXPONENTIAL INTEGRABILITY, BESSEL POTENTIALS AND EMBEDDING-THEOREMS, Studia Mathematica, 115(2), 1995, pp. 151-181
Citations number
19
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
115
Issue
2
Year of publication
1995
Pages
151 - 181
Database
ISI
SICI code
0039-3223(1995)115:2<151:DEIBPA>2.0.ZU;2-I
Abstract
This paper is a continuation of [5] and provides necessary and suffici ent conditions for double exponential integrability of the Bessel pote ntial of functions from suitable (generalized) Lorentz-Zygmund spaces. These results are used to establish embedding theorems for Bessel pot ential spaces which extend Trudinger's result.