A Generalization of the Logarithmic Gross–Sobolev Inequality

Sh. M. Nasibov

doi:10.1134/S1064562419040033

A Generalization of the Logarithmic Gross–Sobolev Inequality

Authors: Nasibov S.M.¹
Affiliations:
1. Institute of Applied Mathematics, Baku State University
Issue: Vol 100, No 1 (2019)
Pages: 329-331
Section: Mathematics
URL: https://journal-vniispk.ru/1064-5624/article/view/225688
DOI: https://doi.org/10.1134/S1064562419040033
ID: 225688

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Abstract
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Abstract

A sharp integral inequality is proved that is used to derive a Sobolev interpolation inequality. A generalization of the logarithmic Sobolev inequality is proposed based on the Sobolev interpolation inequality.

About the authors

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University

Author for correspondence.
Email: nasibov_sharif@mail.ru
Azerbaijan, Baku, AZ1148

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