5 papers · 1 filter
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…