Functional Analysis and Its Applications

, Volume 52, Issue 1, pp 45–48 | Cite as

On the Pólya–Szégö Inequality for Functionals with Variable Exponent

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Abstract

Analogues of the Pólya–Szégö inequality with variable exponent in the integrand are considered. Necessary and sufficient conditions for the fulfillment of these inequalities are obtained.

Key words

symmetrization variable exponent Pólya–Szégö inequality 

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Saint Petersburg State UniversitySt. PetersburgRussia

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