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

2015/10/27 by Mark G. Lawrence, Lawrence, Mark G.
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #math.CV

paper · pdf · doi:10.48550/arxiv.1510.07812

12 pages

arxiv created 2015/10/27 · arxiv updated 2015/10/28

Abstract

For a large class of convex domains in \bf Cⁿ, 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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