A Representation of Matrix-Valued Harmonic Functions by the Poisson Integral of Non-commutative BMO Functions
Classical Analysis and ODEs
2024-08-29 v2 Functional Analysis
Abstract
In this paper, the authors study the matrix-valued harmonic functions and characterize them by the Poisson integral of functions in non-commutative BMO (bounded mean oscillation) spaces. This provides a very satisfactory non-commutative analogue of the beautiful result due to Fabes, Johnson and Neri [Indiana Univ. Math. J. {\bf25} (1976) 159-170; MR0394172].
Keywords
Cite
@article{arxiv.2309.11752,
title = {A Representation of Matrix-Valued Harmonic Functions by the Poisson Integral of Non-commutative BMO Functions},
author = {Cheng Chen and Guixiang Hong and Wenhua Wang},
journal= {arXiv preprint arXiv:2309.11752},
year = {2024}
}
Comments
19 pages, Submitted