Reverse Stein–Weiss, Hardy–Littlewood–Sobolev, Hardy, Sobolev and Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups-Reference-Cited by-同舟云学术

Reverse Stein–Weiss, Hardy–Littlewood–Sobolev, Hardy, Sobolev and Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups

Published:2022-07-23 Issue:0 Volume:0 Page:
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Kassymov Aidyn¹,Ruzhansky Michael²,Suragan Durvudkhan³^ORCID

Affiliation:

1. Department of Mathematics: Analysis, Logic and Discrete Mathematics , Ghent University , Ghent Belgium ; and Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., 050040 Almaty, Kazakhstan

2. Department of Mathematics: Analysis, Logic and Discrete Mathematics , Ghent University , Ghent Belgium ; and School of Mathematical Sciences, Queen Mary University of London, United Kingdom

3. Department of Mathematics , Nazarbayev University , 53 Kabanbay Batyr Ave , Nur-Sultan 010000 , Kazakhstan

Abstract

Abstract In this note, we prove the reverse Stein–Weiss inequality on general homogeneous Lie groups. The results obtained extend previously known inequalities. Special properties of homogeneous norms and the reverse integral Hardy inequality play key roles in our proofs. Also, we prove reverse Hardy, Hardy–Littlewood–Sobolev, L p

{L^{p}}

-Sobolev and L p

{L^{p}}

-Caffarelli–Kohn–Nirenberg inequalities on homogeneous Lie groups.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2021-0110/pdf

Reference47 articles.

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