Year: 2013
Type: article
Abstract: We present the theory of Cauchy-Fantappié integral operators, with emphasis on the situation when the domain of integration, D, has minimal boundary regularity.Among these operators we focus on those that are more closely related to the classical Cauchy integral for a planar domain, whose kernel is a holomorphic function of the parameter z ∈ D. The goal is to prove L p estimates for these operators and, as a consequence, to obtain L p estimates for the canonical Cauchy-Szegö and Bergman projection operators (which are not of Cauchy-Fantappié type).
Authors: Loredana Lanzani, Elias M. Stein
Institutions: University of Arkansas at Fayetteville, Princeton University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: National Science Foundation
OpenAlex ID: W2139694760