Zobrazeno 1 - 10
of 389
pro vyhledávání: '"Xu, Bang"'
In this work, we study three problems related to the $L_1$-influence on quantum Boolean cubes. In the first place, we obtain a dimension free bound for $L_1$-influence, which implies the quantum $L^1$-KKL Theorem result obtained by Rouze, Wirth and Z
Externí odkaz:
http://arxiv.org/abs/2409.00224
In this paper, we investigate various square functions on the unit complex ball. We prove the weighted inequalities of the Lusin area integral associated with Poisson integral in terms of $A_p$ weights for all $1
Externí odkaz:
http://arxiv.org/abs/2408.13726
In this paper, we establish the quantitative mean ergodic theorems for two subclasses of power bounded operators on a fixed noncommutative $L_p$-space with $1
Externí odkaz:
http://arxiv.org/abs/2301.00186
In this paper, we obtain the desired noncommutative maximal inequalities of the truncated Calder\'on-Zygmund operators of non-convolution type acting on operator-valued $L_p$-functions for all $1
Externí odkaz:
http://arxiv.org/abs/2212.13150
Autor:
Xu, Bang
This paper is devoted to the study of Hermite operators acting on noncommutative $L_{p}$-spaces. In the first part, we establish the noncommutative maximal inequalities for Bochner-Riesz means associated with Hermite operators and then obtain the cor
Externí odkaz:
http://arxiv.org/abs/2205.02284
Autor:
Xu, Bang
In this paper, we complete the study of mapping properties for a family of operators evaluating the difference between differentiation operators and conditional expectations acting on noncommutative $L_{p}$-spaces. To be more precise, we establish th
Externí odkaz:
http://arxiv.org/abs/2104.08526
Publikováno v:
In Journal of Functional Analysis 1 January 2024 286(1)
In this paper, we study the boundedness theory for maximal Calder\'on-Zygmund operators acting on noncommutative $L_p$-spaces. Our first result is a criterion for the weak type $(1,1)$ estimate of noncommutative maximal Calder\'on-Zygmund operators;
Externí odkaz:
http://arxiv.org/abs/2009.03827
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena November 2023 176
Publikováno v:
In Journal of the American Medical Directors Association October 2023 24(10):1490-1496