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math.FA2024
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…
math.CV2024
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…