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Matematicheskie Zametki, 2020, Volume 107, Issue 6, Pages 894–901
DOI: https://doi.org/10.4213/mzm12757 (Mi mzm12757) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Sobolev Interpolation Inequality and a Gross–Sobolev Logarithmic Inequality

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University
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DOI: https://doi.org/10.4213/mzm12757
Abstract: A sharp integral inequality is proved and used to obtain a Sobolev interpolation inequality. Further, a new proof of a Gross–Sobolev logarithmic inequality is constructed on the basis of the Sobolev interpolation inequality.
Keywords: Sobolev interpolation inequality, Hausdorff–Young inequality, Gross–Sobolev logarithmic inequality.
Received: 19.07.2018
Revised: 05.10.2019
English version:
Mathematical Notes, 2020, Volume 107, Issue 6, Pages 977–983
DOI: https://doi.org/10.1134/S0001434620050296
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: Sh. M. Nasibov, “A Sobolev Interpolation Inequality and a Gross–Sobolev Logarithmic Inequality”, Mat. Zametki, 107:6 (2020), 894–901; Math. Notes, 107:6 (2020), 977–983
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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