Supported by NSFC(Grant Nos.12071355,12325105,12031004,W2441002);Fundamental Research Funds for the Central Universities(Grant No.2042022kf1185)。
In this paper,we establish a weighted maximal L_(2) estimate of operator-valued Bochner–Riesz means.The proof is based on noncommutative square function estimates and a sharp weighted noncommutative Hardy–Littlewood...
supported by National Natural Science Foundation of China (Grant Nos.12031014 and 12226314)。
Under semi-weak and weak compatibility conditions of bimodules,we establish necessary and sufficient conditions of Gorenstein-projective modules over rings of Morita contexts with one bimodule homomorphism zero.This e...
supported by National Natural Science Foundation of China (Grant No. 12071355);National Research Foundation of Korea (Grant No. NRF-2022R1A2C1092320);Samsung Science and Technology Foundation (Grant No. SSTF-BA2002-01)。
This paper is devoted to the study of semi-commutative harmonic analysis associated with Hermite semigroups. In the first part, we establish the noncommutative maximal inequalities for Bochner-Riesz means associated w...
supported by ZJNSF(LY19A010011);NSFC(11971141,12371017);supported by NSFC(11971449,12131015,12371042).
A Clifford deformation of a Koszul Frobenius algebra E is a finite dimensional Z_(2)-graded algebra E(θ),which corresponds to a noncommutative quadric hypersurface E^(!)/(z)for some central regular element z∈E_(2)^(...
supported by the National Natural Science Foundation of China under Grant No.12071237;KC Wong Magna Fund in Ningbo University。
For the limit fractional Volterra(LFV)hierarchy,we construct the n-fold Darboux transformation and the soliton solutions.Furthermore,we extend the LFV hierarchy to the noncommutative LFV(NCLFV)hierarchy,and construct ...
supported by National Natural Science Foundation of China(Grant Nos.12125109,11971484 and 12001541);Natural Science Foundation of Hunan(Grant No.2021JJ40714);Changsha Municipal Natural Science Foundation(Grant No.kq2014118)。
We investigate dualities and inequalities related to noncommutative martingale Hardy-Orlicz spaces.More precisely,for a concave Orlicz functionΦ,we characterize the dual spaces of noncommutative martingale Hardy-Orli...
While wormholes are as good a prediction of Einstein’s theory as black holes, they are subject to severe restrictions from quantum field theory. In particular, holding a wormhole open requires a violation of the null...
Supported by National Natural Science Foundation of China(11601396).
1 Introduction and Main Results In classical ergodic theory,one of the earliest pointwise ergodic convergence theorems was obtained by Birkhoff[1]in 1931.Dunford and Schwartz[2]greatly generalized the previous situati...
In this paper, decoherence of a damped anisotropic harmonic oscillator in the presence of a magnetic field is studied in the framework of the Lindblad theory of open quantum systems in noncommutative phase-space. Gene...
We describe the general structure of unbounded derivations in the quantum cylinder.We prove a noncommutative analog of reflection positivity for Laplace-type operators in a noncommutative cylinder following the ideas ...