11 papers
On octonionic Hessian complex and Hartogs--Bochner extension of octonionic pluriharmonic functions in two octonionic variables
Yun Shi, Wei Wang
In this paper, we construct the octonionic Hessian complex, which is the octonionic version of the -complex. By proving its ellipticity, we can solve the non…
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…
Twisted modules of -graded modular vertex superalgebras
Xiangyu Jiao, Qiang Mu, Wei Wang
In this paper, we investigate the theory of -twisted modules for modular -graded vertex superalgebras over an algebraically closed field of p…
On octonionic Monge-Ampère equation and pluripotential theory associated to octonionic plurisubharmonic functions of two variables
Wei Wang
Several aspects of pluripotential theory are generalized to octonionic plurisubharmonic (OPSH) functions of two variables. We prove the comparison principle for continuous OPSH fun…
On some Gromoll filtration groups and fundamental groups of
Wei Wang
In this paper, we compute some Gromoll filtration groups for certain when and . Using these results, we obtain some new informa…
The Hartogs-Bochner extension for monogenic functions of several vector variables and the Dirac complex
Yun Shi, Wei Wang
Holomorphic functions in several complex variables are generalized to regular functions in several quaternionic variables, and further to monogenic functions of several vector vari…
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…
Evaluation of reciprocal sums of hyperbolic functions using quasimodular forms
Wei Wang
This paper studies eight families of infinite series involving hyperbolic functions. Under some conditions, these series are linear combinations of derivatives of Eisenstein series…
Massless field equations for spin 3/2 in dimension 6
Roman Lavicka, Vladimir Soucek, Wei Wang
Main topic of the paper is a study of properties of massless fields of spin 3/2 in its Euclidean version. A lot of information is available already for massless fields in dimension…