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math.CV2026
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…
math.CV2026
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…
math.CV2026
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…