RUS  ENG
Full version
JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2018 Volume 52, Issue 1, Pages 56–60 (Mi faa3523)
This article is cited in 2 papers

Brief communications

On the Pólya–Szégö Inequality for Functionals with Variable Exponent

S. V. Bankevich

Petersburg State University, St. Petersburg, Russia

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.

Keywords: symmetrization, variable exponent, Pólya–Szégö inequality.

UDC: 517.988.38

Received: 09.09.2017

DOI: 10.4213/faa3523


 English version: Functional Analysis and Its Applications, 2018, 52:1, 45–48

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024