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Session S38 - Geometric Potential Analysis

Monday, July 19, 20:10 ~ 20:40 UTC-3

Hardy spaces associated to the Kohn Laplacian on a family of model domains in ${\bf C}^2$

Der-Chen Chang

Georgetown University, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We establish a Hardy space theory on the boundary of a family of model domains of finite type m via a new discrete square function constructed from the heat kernel. We prove that a class of singular integral operators is not only bounded on the Hardy spaces $H^p(M)$, but also bounded from $H^p(M)$ to $L^p(M)$ for $\frac{m+2}{m+2+\vartheta}$.

Joint work with Yongsheng Han (Auburn University, USA) and Xinfeng Wu (China University of Mining && Technology, China).

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