Double exponential integrability, Bessel potentials and embedding theorems
Volume 115 / 1995
Studia Mathematica 115 (1995), 151-181
DOI: 10.4064/sm-115-2-151-181
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.