BEST CONSTANTS IN MULTIPLICATIVE INEQUALITIES FOR SUP-NORMS

A. A. ILYIN

doi:10.1112/S002461079800653X

Abstract

The paper finds best constants in a class of multiplicative inequalities with one-dimensional spatial variables

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where f is a periodic function with zero mean value, and the norms in the right-hand side of the expression are the L2-norms.

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BEST CONSTANTS IN MULTIPLICATIVE INEQUALITIES FOR SUP-NORMS

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BEST CONSTANTS IN MULTIPLICATIVE INEQUALITIES FOR SUP-NORMS

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