8 papers
Sharp instability of planar isotropic--nematic interfaces in the Landau--de Gennes model
Wei Wang, Qin Wu
We study the stability of one-dimensional planar isotropic--nematic interfaces in the Landau--de Gennes model with anisotropic elastic constant . Earlier work proved the instabi…
Haar bases for multi-parameter twisted structures
Ji Li, Chong-Wei Liang, Brett D. Wick +2
Motivated by the Cauchy--Szegő projections on a broad class of Siegel domains and the geometric quotient structures of nilpotent Lie groups observed by Nagel, Ricci, and Stein, we…
Maximal functions with twisted structures, distribution inequality and applications
Ji Li, Chong-Wei Liang, Chaojie Wen +1
Motivated by the geometric reduction of Cauchy--Szegő projections on quadratic surfaces of higher codimension (Nagel--Ricci--Stein, 2001) and recent developments on the real-variab…
Twisted Multiparameter singular integrals -- real variable methods and applications, I
Zunwei Fu, Ji Li, Chong-Wei Liang +2
In this paper, we introduce a class of twisted multiparameter singular integrals on , motivated by the Cauchy--Szegő projections and the solving operators for $\ba…
Characterizations of Hardy spaces on tube domains over polyhedral cones
Zunwei Fu, Loukas Grafakos, Wei Wang +1
This paper is devoted to the equivalence of various characterizations of holomorphic Hardy spaces on tube domains over polyhedral cones. We establish a new iterated Poisson i…
Flag-like singular integrals and associated Hardy spaces on a kind of nilpotent Lie groups of step two
Wei Wang, Qingyan Wu
The Cauchy-Szegö singular integral is a fundamental tool in the study of holomorphic Hardy space. But for a kind of Siegel domains, the Cauchy-Szegö kernels are neither produ…
On monogenic functions and the Dirac complex of two vector variables
Yun Shi, Wei Wang, Qingyan Wu
A monogenic function of two vector variables is a function annihilated by the operator consisting of two Dirac operators, which are associated to two variables, respectively. We gi…
Optimal lifting of Levi-degenerate hypersurfaces and applications to the Cauchy--Szegö projection
Der-Chen Chang, Ji Li, Alessandro Ottazzi +1
We consider a family of Levi-degenerate finite type hypersurfaces in , where in general there is no group structure. We lift these domains to stratified Lie groups via…