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1. Hardy inequalities for functions vanishing at negligible sets and its applications.

Author

Sobajima, Motohiro and Watanabe, Shuji

Subjects
*MATHEMATICAL inequalities, *MATHEMATICAL functions, *SET theory, *MATHEMATICAL constants, *SCHRODINGER operator
Abstract

Hardy inequalities for smooth functions vanishing at a negligible set incontained in 0 is considered. The result gives best constants of these inequalities, which depends on the structure of the corresponding negligible set. As applications, related Schrödinger operators are also considered. [ABSTRACT FROM AUTHOR]

Published
2016
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