25 citations · 109 across the 37 of their papers we have counts for
4 papers · 1 filter
Noncommutative maximal strong estimates of Calderón-Zygmund operators
Guixiang Hong, Xudong Lai, Samya Kumar Ray +1
In this paper, we obtain the desired noncommutative maximal inequalities of the truncated Calderón-Zygmund operators of non-convolution type acting on operator-valued -functio…
Fourier restriction estimates on quantum Euclidean spaces
Guixiang Hong, Xudong Lai, Liang Wang
In this paper, we initiate the study of the Fourier restriction phenomena on quantum Euclidean spaces, and establish the analogues of the Tomas-Stein restriction theorem and the tw…
On Isometric Embeddability of into as non-commutative Quasi-Banach space
Arup Chattopadhyay, Guixiang Hong, Chandan Pradhan +1
The existence of isometric embedding of into , where and has been recently studied in \cite{JFA22}. In this article, we extend…
John-Nirenberg inequalities for noncommutative column BMO and Lipschitz martingales
Guixiang Hong, Congbian Ma, Yu Wang
In this paper, we continue the study of John-Nirenberg theorems for BMO/Lipschitz spaces in the noncommutative martingale setting. As conjectured from the classical case, a desired…