Extrapolation to two-weighted Herz spaces with three variable exponents

On the basis of the boundedness of singular integral operators, we investigate the boundedness of various linear operators acting on two-weighted Herz spaces with three variable exponents. We obtain the extrapolation theorem as well as the boundedness property of bilinear singular operators. First,...

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Bibliographic Details
Published in:Advances in operator theory 2024-07, Vol.9 (3), Article 44
Main Authors: Izuki, Mitsuo, Noi, Takahiro, Sawano, Yoshihiro
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Operator Theory
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Summary:On the basis of the boundedness of singular integral operators, we investigate the boundedness of various linear operators acting on two-weighted Herz spaces with three variable exponents. We obtain the extrapolation theorem as well as the boundedness property of bilinear singular operators. First, we are interested in the case where the triangle inequality is available, and then we develop a theory to extend our results in full generality.
ISSN:2662-2009
2538-225X
DOI:10.1007/s43036-024-00333-w