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GENERALIZED GAGLIARDO--NIRENBERG INEQUALITIES VIA MURAMATU'S INTEGRAL FORMULA.

Authors :
TRAN MINH NGUYEN
TAN DUC DO
NGUYEN NGOC TRONG
BUI LE TRONG THANH
Source :
Mathematical Inequalities & Applications; 2022, Vol. 25 Issue 4, p999-1020, 22p
Publication Year :
2022

Abstract

We derive three generalized Gagliardo-Nirenberg inequalities in Lorentz, BMO and homogeneous Lipschitz spaces. They have the forms... whose parameters satisfy specific conditions. We use the so-called Muramatu's integral formula as the main approach throughout the paper. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
LIPSCHITZ spaces
LORENTZ spaces
OPERATOR spaces
FUNCTION spaces
OPERATOR theory
FUNCTIONAL analysis
INTEGRAL functions

Details

Language :
English
ISSN :
13314343
Volume :
25
Issue :
4
Database :
Complementary Index
Journal :
Mathematical Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
160005273
Full Text :
https://doi.org/10.7153/mia-2022-25-63
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