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Funktsional'nyi Analiz i ego Prilozheniya, 2018, Volume 52, Issue 1, Pages 56–60
DOI: https://doi.org/10.4213/faa3523 (Mi faa3523) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

On the Pólya–Szégö Inequality for Functionals with Variable Exponent

S. V. Bankevich

Petersburg State University, St. Petersburg, Russia
Full-text PDF (149 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa3523
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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-07650
This work was supported by the Russian Foundation for Basic Research, project no. 15-01-07650.
Received: 09.09.2017
English version:
Functional Analysis and Its Applications, 2018, Volume 52, Issue 1, Pages 45–48
DOI: https://doi.org/10.1007/s10688-018-0205-8
Bibliographic databases:
Document Type: Article
UDC: 517.988.38
Language: Russian
Citation: S. V. Bankevich, “On the Pólya–Szégö Inequality for Functionals with Variable Exponent”, Funktsional. Anal. i Prilozhen., 52:1 (2018), 56–60; Funct. Anal. Appl., 52:1 (2018), 45–48
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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