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An elementary proof of sharp Sobolev embeddings
Author(s):
Jan
Malý;
Lubos
Pick
Journal:
Proc. Amer. Math. Soc.
130
(2002),
555-563.
MSC (1991):
Primary 46E35;
Secondary 46E30, 26D10
Posted:
June 19, 2001
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Abstract:
We present an elementary unified and self-contained proof of sharp Sobolev embedding theorems. We introduce a new function space and use it to improve the limiting Sobolev embedding theorem due to Brézis and Wainger.
References:
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Additional Information:
Jan
Malý
Affiliation:
Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic
Email:
maly@karlin.mff.cuni.cz
Lubos
Pick
Affiliation:
Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic
Email:
pick@karlin.mff.cuni.cz
DOI:
10.1090/S0002-9939-01-06060-9
PII:
S 0002-9939(01)06060-9
Received by editor(s):
May 3, 2000
Received by editor(s) in revised form:
July 14, 2000
Posted:
June 19, 2001
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2001,
American Mathematical Society
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