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