The cauchy-szego projection for domains in cn with minimal smoothness

Loredana Lanzani; Elias M. Stein

doi:10.1215/00127094-3714757

The cauchy-szego projection for domains in cⁿ with minimal smoothness

Loredana Lanzani, Elias M. Stein

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

We prove the L^p(bD)-regularity of the Cauchy-Szego projection (also known as the Szego projection)forboundeddomains D Cⁿ which are strongly pseudoconvex and whose boundary satisfies the minimal regularity condition of class C².

Original language	English (US)
Pages (from-to)	125-176
Number of pages	52
Journal	Duke Mathematical Journal
Volume	166
Issue number	1
DOIs	https://doi.org/10.1215/00127094-3714757
State	Published - 2017

ASJC Scopus subject areas

General Mathematics

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title = "The cauchy-szego projection for domains in cn with minimal smoothness",

abstract = "We prove the Lp(bD)-regularity of the Cauchy-Szego projection (also known as the Szego projection)forboundeddomains D Cn which are strongly pseudoconvex and whose boundary satisfies the minimal regularity condition of class C2.",

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AU - Lanzani, Loredana

AU - Stein, Elias M.

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AB - We prove the Lp(bD)-regularity of the Cauchy-Szego projection (also known as the Szego projection)forboundeddomains D Cn which are strongly pseudoconvex and whose boundary satisfies the minimal regularity condition of class C2.

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JO - Duke Mathematical Journal

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The cauchy-szego projection for domains in cⁿ with minimal smoothness

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