Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
GIAMBELLI’S FORMULA AND THE BEST CONSTANT OF SOBOLEV INEQUALITY IN ONE DIMENSIONAL EUCLIDEAN SPACE
Yoshinori KametakaAtsushi NagaiKohtaro WatanabeKazuo TakemuraHiroyuki Yamagishi
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2010 年 71 巻 1 号 p. 27-41

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The best constant of Sobolev inequality associated with 2N-th order Hurwitz-type differential operator is computed. Giambelli’s formula which appears in representation theory of finite groups plays an important role.
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© 2010 International Society for Mathematical Sciences
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