Open AccessSymmetrization of Functions and the Best Constant of 1-DIM Sobolev Inequality
Author(s) -
Kohtaro Watanabe,
Yoshinori Kametaka,
Atsushi Nagai,
Hiroyuki Yamagishi,
Kazuo Takemura
Publication year - 2009
Publication title -
journal of inequalities and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 50
eISSN - 1029-242X
pISSN - 1025-5834
DOI - 10.1155/2009/874631
Subject(s) - symmetrization , mathematics , sobolev inequality , sobolev space , constant (computer programming) , lemma (botany) , embedding , pure mathematics , mathematical analysis , computer science , programming language , ecology , poaceae , artificial intelligence , biology
The best constants C(m,p) of Sobolev embedding of W0m,p(−s,s) into L∞(−s,s) for m=1,2,3 and 1<p are obtained. A lemma concerning the symmetrization of functions plays an important role in the proof
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