Zobrazeno 1 - 10
of 167
pro vyhledávání: '"Wu, Qingyan"'
Autor:
Wang, Wei, Wu, Qingyan
The Cauchy-Szeg\"o singular integral is a fundamental tool in the study of holomorphic $H^p$ Hardy space. But for a kind of Siegel domains, the Cauchy-Szeg\"o kernels are neither product ones nor flag ones on the Shilov boundaries, which have the str
Externí odkaz:
http://arxiv.org/abs/2406.01453
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 give the explicit form of differential operators in the Dirac complex re
Externí odkaz:
http://arxiv.org/abs/2404.03374
We consider a family of Levi-degenerate finite type hypersurfaces in $\mathbb C^2$, where in general there is no group structure. We lift these domains to stratified Lie groups via a constructive proof, which optimizes the well-known lifting procedur
Externí odkaz:
http://arxiv.org/abs/2309.00525
This paper aims to study the local derivations, 2-local automorphisms and local automorphisms on the super-Virasoro algebras. The primary focus is to establish that every local derivation of the super-Virasoro algebras is indeed a derivation, and to
Externí odkaz:
http://arxiv.org/abs/2302.05837
Autor:
Wang, Wei, Wu, Qingyan
Products of Siegel upper half spaces are Siegel domains, whose Silov boundaries have the structure of products $\mathscr H_1\times\mathscr H_2$ of Heisenberg groups. By the reproducing formula of bi-parameter heat kernel associated to sub-Laplacians,
Externí odkaz:
http://arxiv.org/abs/2302.00490
We study the Kohn-Laplacian and its fundamental solution on some model domains in $\mathbb C^{n+1}$, and further discuss the explicit kernel of the Cauchy-Szeg\"o projections on these model domains using the real analysis method. We further show that
Externí odkaz:
http://arxiv.org/abs/2211.14798
In this paper, we introduce the fractional Fourier series on the fractional torus and study some basic facts of fractional Fourier series, such as fractional convolution and fractional approximation. Meanwhile, fractional Fourier inversion and Poisso
Externí odkaz:
http://arxiv.org/abs/2210.14720
Publikováno v:
Linear and Multilinear Algebra, 2024, 72(4), 631-643
The present paper is devoted to studying local derivations on the Lie algebra $W(2,2)$ which has some outer derivations. Using some linear algebra methods in \cite{CZZ} and a key construction for $W(2,2)$ we prove that every local derivation on $W(2,
Externí odkaz:
http://arxiv.org/abs/2210.14626
We investigate the Cauchy--Szeg\H{o} projection for quaternionic Siegel upper half space to obtain the pointwise (higher order) regularity estimates for Cauchy--Szeg\H{o} kernel and prove that the Cauchy--Szeg\H{o} kernel is non-zero everywhere, whic
Externí odkaz:
http://arxiv.org/abs/2110.12210
We study the two weight quantitative estimates for the commutator of maximal functions and the maximal commutators with respect to the symbol in weighted BMO space on spaces of homogeneous type. These commutators turn out to be controlled by the spar
Externí odkaz:
http://arxiv.org/abs/2012.00575