6 papers
The Cauchy--Szegö Projection for domains in with minimal smoothness: weighted theory
Xuan Thinh Duong, Loredana Lanzani, Ji Li +1
Let be a bounded, strongly pseudoconvex domain whose boundary satisfies the minimal regularity condition of class . A 2017 result of Lanzani \& Stei…
The commutator of the Cauchy--SzegÅ Projection for domains in with minimal smoothness: weighted regularity
Xuan Thinh Duong, Loredana Lanzani, Ji Li +1
Let be a bounded, strongly pseudoconvex domain whose boundary satisfies the minimal regularity condition of class , and let denote the Cauchy…
Hardy spaces and Campanato spaces associated with Laguerre expansions and higher order Riesz transforms
The Anh Bui, Xuan Thinh Duong
Let \(\mathcal{L}_ν\) be the Laguerre differential operator which is the self-adjoint extension of the differential operator \[ L_ν:= \sum_{i=1}^n \left[-\frac{\partial^2}{\parti…
On subordinated semigroups and Hardy spaces associated to fractional powers of operators
The Anh Bui, Michael G. Cowling, Xuan Thinh Duong
Let be a positive self-adjoint operator on , where is a -finite metric measure space. When , the subordinated semigroup $\{\exp(-tL^α):t \in \math…
Hardy spaces, Besov spaces and Triebel--Lizorkin spaces associated with a discrete Laplacian and applications
The Anh Bui, Xuan Thinh Duong
Consider the discrete Laplacian defined on the set of integers by \[ Î_d f(n) = -f(n+1) + 2f(n) -f(n-1), \ \ \ \ n\in \mathbb Z, \] where is a function defi…
Weighted Estimates of Singular Integrals and Commutators in the Zygmund Dilation Setting
Xuan Thinh Duong, Ji Li, Yumeng Ou +2
The main purpose of this paper is to establish weighted estimates for singular integrals associated with Zygmund dilations via a discrete Littlewood--Paley theory, and then apply i…