4.6 Article

The Cauchy integral in Cn for domains with minimal smoothness

Journal

ADVANCES IN MATHEMATICS
Volume 264, Issue -, Pages 776-830

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2014.07.016

Keywords

Cauchy integral; T(1) theorem; Szego projection; Strongly pseudo-convex domains; Linearly convex domains

Categories

Funding

  1. National Science Foundation IRD plan [DMS-1001304]
  2. National Science Foundation [DMS-0901040]

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We prove L-P(bD)-regularity of the Cauchy-Leray integral for bounded domains D subset of C-n whose boundary satisfies the minimal regularity condition of class C-1,C-1 together with a naturally occurring notion of convexity. (C) 2014 Elsevier Inc. All rights reserved.

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