Rubio de Francía’s Weighted Extrapolation in Mixed Norm Spaces and Applications

We present authors’ recent results regarding Rubio de Francía’s extrapolation, generally speaking, in some mixed norm function spaces. We study both diagonal and off-diagonal cases. As a consequence, we have the boundedness of operators of Harmonic Analysis in these spaces. Some of the properties of...

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Bibliographic Details
Published inLobachevskii journal of mathematics Vol. 45; no. 12; pp. 6147 - 6172
Main Authors Meskhi, Alexander, Tsanava, Tsira
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2024
Springer Nature B.V
Subjects
Algebra
Analysis
Extrapolation
Fourier analysis
Function space
Geometry
Harmonic analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
weighted inequality
mixed norm spaces
strong maximal operator
Banach function spaces
weighted extrapolation
2010 Mathematics Subject Classification: 26A33, 42B20, 42B25, 42B35
grand non-standard mixed norm function spaces
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Summary:We present authors’ recent results regarding Rubio de Francía’s extrapolation, generally speaking, in some mixed norm function spaces. We study both diagonal and off-diagonal cases. As a consequence, we have the boundedness of operators of Harmonic Analysis in these spaces. Some of the properties of mixed norm function spaces are investigated as well. Some of the presented statements are proved for the first time here.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224607410