An embedding theorem for Sobolev type functions with gradients in a Lorentz space

Volume 191 / 2009

Alireza Ranjbar-Motlagh Studia Mathematica 191 (2009), 1-9 MSC: Primary 26D10, 46E30; Secondary 46E35, 26B30. DOI: 10.4064/sm191-1-1


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.


  • Alireza Ranjbar-MotlaghDepartment of Mathematical Sciences
    Sharif University of Technology
    P.O. Box 11365-9415
    Tehran, Iran

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image