Matrix-weighted little BMO spaces in two parameters
Classical Analysis and ODEs
2024-07-25 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2312.06414,
title = {Matrix-weighted little BMO spaces in two parameters},
author = {Spyridon Kakaroumpas and Odí Soler i Gibert},
journal= {arXiv preprint arXiv:2312.06414},
year = {2024}
}
Comments
25 pages; the part about matrix weighted product BMO was completed and moved to a subsequent article