8 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--SzegÅ projections and the solving operators for $\b…
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…