Geodesic
An embedding theorem for Sobolev type functions with gradients in a Lorentz space
Alireza Ranjbar-Motlagh1
1Department of Mathematical Sciences Sharif University of Technology P.O. Box 11365-9415 Tehran, Iran
Studia Mathematica, Tome 191 (2009) no. 1, pp. 1-9
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm191-1-1
Keywords: purpose paper prove embedding theorem sobolev type functions whose gradients lorentz space framework abstract metric measure spaces apply theorem prove absolute continuity differentiability functions

Alireza Ranjbar-Motlagh  1

1 Department of Mathematical Sciences Sharif University of Technology P.O. Box 11365-9415 Tehran, Iran 
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Alireza Ranjbar-Motlagh. An embedding theorem for Sobolev type functions
 with gradients in a Lorentz space. Studia Mathematica, Tome 191 (2009) no. 1, pp. 1-9. doi: 10.4064/sm191-1-1

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