25 citations · 109 across the 37 of their papers we have counts for
12 papers · 1 filter
Quantitative mean ergodic inequalities: power bounded operators acting on one single noncommutative space
Guixiang Hong, Wei Liu, Bang Xu
In this paper, we establish the quantitative mean ergodic theorems for two subclasses of power bounded operators on a fixed noncommutative -space with , which main…
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…
Isometric Embeddability of into
Arup Chattopadhyay, Guixiang Hong, Avijit Pal +2
In this paper, we study existence of isometric embedding of into where and We show that for all if ther…
Noncommutative ergodic averages of balls and spheres over Euclidean spaces
Guixiang Hong
In this paper, we establish a noncommutative analogue of Calderón's transference principle, which allows us to deduce noncommutative ergodic maximal inequalities from the special c…
Vector valued -variation for differential operators and semigroups II
Guixiang Hong, Tao Ma
In this paper, we establish UMD lattice-valued variational inequalities for differential operators, ergodic averages and analytic semigroups. These results generalize, on the one h…
Vector valued -variation for differential operators and semigroups I
Guixiang Hong, Tao Ma
In this paper, we establish -valued variational inequalities for differential operators, ergodic averages and symmetric diffusion semigroups under the condition that Ba…
The behavior of the bounds of matrix-valued maximal inequality in for large
Guixiang Hong
In this paper, we study the behavior of the bounds of matrix-valued maximal inequality in for large . The main result of this paper is that the -bounds ($p>1…
Banach lattice-valued -variation and convexity
Guixiang Hong
In this paper, we show that the -variation for differential operator is not bounded in for any . As a consequence, the -v…
Wavelet approach to operator-valued Hardy spaces
Guixiang Hong, Zhi Yin
This paper is devoted to the study of operator-valued Hardy spaces via wavelet method. This approach is parallel to that in noncommutative martingale case. We show that our Hardy s…
John-Nirenberg inequality and atomic decomposition for noncommutative martingales
Guixiang Hong, Tao Mei
In this paper, we study the John-Nirenberg inequality for BMO and the atomic decomposition for H1 of noncommutative martingales. We first establish a crude version of the column (r…