On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators

Loredana Lanzani; Elias M. Stein

doi:10.1007/978-3-030-72058-2_14

On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators

Loredana Lanzani, Elias M. Stein

Department of Mathematics

Research output: Chapter in Book/Entry/Poem › Chapter

2 Scopus citations

Abstract

We survey recent work and announce new results concerning two singular integral operators whose kernels are holomorphic functions of the output variable, specifically the Cauchy–Leray integral and the Cauchy–Szegő projection associated to various classes of bounded domains in ℂⁿ with n ≥ 2.

Original language	English (US)
Title of host publication	Springer INdAM Series
Publisher	Springer-Verlag Italia s.r.l.
Pages	467-479
Number of pages	13
DOIs	https://doi.org/10.1007/978-3-030-72058-2_14
State	Published - 2021

Publication series

Name	Springer INdAM Series
Volume	45
ISSN (Print)	2281-518X
ISSN (Electronic)	2281-5198

Keywords

Cauchy integral
Diederich-Fornæss worm domain
Hardy space

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-3-030-72058-2_14

Cite this

@inbook{6544d2145aff4fd3a5816bef5c3fe832,

title = "On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators",

abstract = "We survey recent work and announce new results concerning two singular integral operators whose kernels are holomorphic functions of the output variable, specifically the Cauchy–Leray integral and the Cauchy–Szeg{\H o} projection associated to various classes of bounded domains in ℂn with n ≥ 2.",

keywords = "Cauchy integral, Diederich-Forn{\ae}ss worm domain, Hardy space",

author = "Loredana Lanzani and Stein, {Elias M.}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.",

year = "2021",

doi = "10.1007/978-3-030-72058-2_14",

language = "English (US)",

series = "Springer INdAM Series",

publisher = "Springer-Verlag Italia s.r.l.",

pages = "467--479",

booktitle = "Springer INdAM Series",

}

TY - CHAP

T1 - On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators

AU - Lanzani, Loredana

AU - Stein, Elias M.

PY - 2021

Y1 - 2021

N2 - We survey recent work and announce new results concerning two singular integral operators whose kernels are holomorphic functions of the output variable, specifically the Cauchy–Leray integral and the Cauchy–Szegő projection associated to various classes of bounded domains in ℂn with n ≥ 2.

AB - We survey recent work and announce new results concerning two singular integral operators whose kernels are holomorphic functions of the output variable, specifically the Cauchy–Leray integral and the Cauchy–Szegő projection associated to various classes of bounded domains in ℂn with n ≥ 2.

KW - Cauchy integral

KW - Diederich-Fornæss worm domain

KW - Hardy space

UR - http://www.scopus.com/inward/record.url?scp=85116284411&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85116284411&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-72058-2_14

DO - 10.1007/978-3-030-72058-2_14

M3 - Chapter

AN - SCOPUS:85116284411

T3 - Springer INdAM Series

SP - 467

EP - 479

BT - Springer INdAM Series

PB - Springer-Verlag Italia s.r.l.

ER -

On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators

Abstract

Publication series

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this