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math.FA2025
Navier-Stokes Equations on Quantum Euclidean Spaces
Deyu Chen, Guixiang Hong, Liang Wang +1
We investigate in the present paper the Navier-Stokes equations on quantum Euclidean spaces with being a antisymmetric matrix, which is a standard…
math.FA2025
Matrix-Weighted Besov Spaces Associated with Non-isotropic Dilations
Xiong Liu, Wenhua Wang
Let , , , be a matrix weight, and be an expansive dilation on . In this paper, the authors firstly in…
math.FA2025
Local Hardy Spaces Associated with Ball Quasi-Banach Function Spaces and Non-negative Self-adjoint Operators on Spaces of Homogeneous Type and Their Applications
Xiong Liu, Wenhua Wang, Tiantian Zhao +1
Let be a space of homogeneous type in the sense of Coifman--Weiss, let be a ball quasi-Banach function space on under suitable maximal-function an…
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…