17 citations · 154 across the 69 of their papers we have counts for
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Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surface
Caixing Gu, Shuaibing Luo, Jie Xiao
This paper is devoted to the study of reducing subspaces for multiplication operator on the Dirichlet space with symbol of finite Blaschke product. The reducing subspaces of…
A quasiconformal composition problem for the Q-spaces
Pekka Koskela, Jie Xiao, Yi Ru-Ya Zhang +1
Given a quasiconformal mapping with , we show that (un-)boundedness of the composition operator on the spaces de…
Isocapacity Estimates for Hessian Operators
Jie Xiao, Ning Zhang
Through a new powerful potential-theoretic analysis, this paper is devoted to discovering the geometrically equivalent isocapacity forms of Chou-Wang's Sobolev type inequality and…
Composition Operators between Analytic Campanato Spaces
Jie Xiao, Wen Xu
This note characterizes both boundedness and compactness of a composition operator between any two analytic Campanato spaces on the unit complex disk.
An Asymmetric Affine Pólya--Szegö Principle
Christoph Haberl, Franz E. Schuster, Jie Xiao
An affine rearrangement inequality is established which strengthens and implies the recently obtained affine Pólya--Szegö symmetrization principle for functions on .…