The $L^p$ CR Hartogs separate analyticity theorem for strictly convex domains

Mark G. Lawrence

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arXiv · 1510.07812

The $L^p$ CR Hartogs separate analyticity theorem for strictly convex domains

Mark G. Lawrence

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Abstract

For a large class of convex domains in $\bf C^n$, it is shown that an $L^p$ function on the boundary is CR if there are holomorphic extensions on almost all slices of D by complex lines parallel to the coordinate axes. As an application, a new operator limit for the Szegő projection is obtained.

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BibTeX RIS

Mark G. Lawrence. 2015-10-27. The $L^p$ CR Hartogs separate analyticity theorem for strictly convex domains. https://arxiv.org/abs/1510.07812

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