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arXiv · 2309.11752

A Representation of Matrix-Valued Harmonic Functions by the Poisson Integral of Non-commutative BMO Functions

Cheng Chen·Guixiang Hong·Wenhua Wang
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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].

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Cheng Chen, Guixiang Hong, Wenhua Wang. 2023-09-21. A Representation of Matrix-Valued Harmonic Functions by the Poisson Integral of Non-commutative BMO Functions. https://arxiv.org/abs/2309.11752

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