5 papers
The nonlinear estimates on quantum Besov spaces
Deyu Chen, Guixiang Hong
The superposition operators have been widely studied in nonlinear analysis, which are essential for the well-posedness theory of nonlinear equations. In this paper, we investigate…
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 standar…
Noncommutative ergodic theorems for action of semisimple Lie groups
Guixiang hong, Samya Kumar Ray
Let be a connected simple Lie group of real rank one and finite center, and let be a maximal compact subgroup. We study the families of spherical, ball, and uniform average…
Campanato spaces via quantum Markov semigroups on finite von Neumann algebras
Guixiang Hong, Yuanyuan Jing
We study the Campanato spaces associated with quantum Markov semigroups on a finite von Neumann algebra . Let be a Markov semigroup, $\mat…
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…