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20032023
most citedCharacterization of Lipschitz spaces via commutators of the Hardy-Littlewood maximal function

45 citations · 152 across the 37 of their papers we have counts for

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39 papers

math.CA2023

Commutators of the maximal and sharp functions with weighted Lipschitz functions

Pu Zhang, Xiaomeng Zhu

Let be the Hardy-Littlewood maximal function. Denote by and the maximal and the nonlinear commutators of with a function . The boundedness of and $[b…

math.RT2022

Monic modules and semi-Gorenstein-projective modules

Pu Zhang

The category of Gorenstein-projective modules over tensor algebra can be described as the monomorphism category of ov…

math.RT2022

Bi-Frobenius algebra structure on quantum complete intersections

Hai Jin, Pu Zhang

This paper is to look for bi-Frobenius algebra structures on quantum complete intersections. We find a class of comultiplications, such that if , then a quantum com…

math.RT2020

On modules M such that M and M* are semi-Gorenstein-projective

Claus Michael Ringel, Pu Zhang

Let A be an artin algebra. An A-module M is semi-Gorenstein-projective provided that Ext^i(M,A) = 0 for all i > 0. If M is Gorenstein-projective, then both M and its A-dual M* are…

math.CA2020

Characterization of Lipschitz Functions via Commutators of Multilinear Singular Integral Operators in Variable Lebesgue Spaces

Jianglong Wu, Pu Zhang

In this paper, the main aim is to consider the boundedness of commutators of multilinear Calderón-Zygmund operators with Lipschitz functions in the context of the variable exponent…

math.RT2019

Koszul modules (and the -growth of modules) over short local algebras

Claus Michael Ringel, Pu Zhang

Following the well-established terminology in commutative algebra, any (not necessarily commutative) finite-dimensional local algebra with radical will be said to be short…