Integral representations on non-smooth domains

2009/03/24 by Dariush Ehsani, Ehsani, Dariush
Mathematics · #32A25 #32W05 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32A25 #msc:32W05

paper · pdf · doi:10.48550/arxiv.0903.4081

24 pages

arxiv created 2009/03/24 · arxiv updated 2009/12/01

Abstract

We derive integral representations for (0,q)-forms, q≥1, on non-smooth strictly pseudoconvex domains, the Henkin-Leiterer domains. A (0,q)-form, f is written in terms of integral operators acting on f, \mdbar f, and \mdbar^∗ f. The representation is applied to derive L^∞ estimates.

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