This article is cited in 1 paper

A Sobolev Interpolation Inequality and a Gross–Sobolev Logarithmic Inequality

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University

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.

UDC: 517.518

Received: 19.07.2018
Revised: 05.10.2019

DOI: 10.4213/mzm12757

 English version: Mathematical Notes, 2020, 107:6, 977–983

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