An embedding theorem for Sobolev type functions with gradients in a Lorentz space
Volume 191 / 2009
Studia Mathematica 191 (2009), 1-9
MSC: Primary 26D10, 46E30; Secondary 46E35, 26B30.
DOI: 10.4064/sm191-1-1
Abstract
The purpose of this paper is to prove an embedding theorem for Sobolev type functions whose gradients are in a Lorentz space, in the framework of abstract metric-measure spaces. We then apply this theorem to prove absolute continuity and differentiability of such functions.
