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math.FA2023
Operator-Valued Hardy spaces and BMO Spaces on Spaces of Homogeneous Type
Zhijie Fan, Guixiang Hong, Wenhua Wang
Let be a von Neumann algebra equipped with a normal semifinite faithful trace, be a space of homogeneous type in the sense of Coifman and Weiss…
math.CA2023
A Representation of Matrix-Valued Harmonic Functions by the Poisson Integral of Non-commutative BMO Functions
Cheng Chen, Guixiang Hong, Wenhua Wang
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) s…