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Matrix-weighted little BMO spaces in two parameters

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arxiv 2312.06414 v2 pith:A26PV4FF submitted 2023-12-11 math.CA

Spyridon Kakaroumpas , Odí Soler i Gibert This is my paper · ORCID
classification math.CA
keywords littletwo-matrixweightedclassnormparametersbelongingbounds
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In this paper we set up a theory of two-matrix weighted little BMO in two parameters. We prove that being a member of this class is equivalent to belonging uniformly in each variable to two-matrix weighted (one-parameter) BMO, a class studied extensively by J. Isralowitz, S. Pott, S. Treil and others. Using this equivalence, we deduce lower and upper bounds in terms of the two-matrix weighted little BMO norm of the symbol for the norm of commutators with Journ\'e operators.

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  1. Besov--Triebel--Lizorkin-Type Spaces with Matrix $A_\infty$ Weights

    math.FA 2025-01 conditional novelty 7.0 of 10

    Matrix A-infinity weighted Besov and Triebel-Lizorkin type spaces are characterized via phi-transforms, molecules, wavelets, and atoms, with sharp boundedness conditions for almost diagonal and classical operators.

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