Sharp berezin lipschitz estimates

L. A. Coburn

doi:10.1090/S0002-9939-06-08569-8

Sharp berezin lipschitz estimates

L. A. Coburn

Mathematics

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

12 Scopus citations

Abstract

F.A. Berezin introduced a general "symbol calculus" for linear operators on reproducing kernel Hilbert spaces. For the Segal-Bargmann space H²(Cn, dμ) of Gaussian square-integrable entire functions on complex n-space, Cn, or for the Bergman spaces A²(ω) of Euclidean volume square-integrable holomorphic functions on bounded domains. in Cn, we show here that earlier Lipschitz estimates for Berezin symbols of arbitrary bounded operators are sharp.

Original language	English
Pages (from-to)	1163-1168
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-06-08569-8
State	Published - Apr 2007

Access to Document

10.1090/S0002-9939-06-08569-8

Cite this

@article{8f324d830d984b01b59c76fce225cf18,

title = "Sharp berezin lipschitz estimates",

abstract = "F.A. Berezin introduced a general {"}symbol calculus{"} for linear operators on reproducing kernel Hilbert spaces. For the Segal-Bargmann space H2(Cn, dμ) of Gaussian square-integrable entire functions on complex n-space, Cn, or for the Bergman spaces A2(ω) of Euclidean volume square-integrable holomorphic functions on bounded domains. in Cn, we show here that earlier Lipschitz estimates for Berezin symbols of arbitrary bounded operators are sharp.",

author = "Coburn, \{L. A.\}",

year = "2007",

month = apr,

doi = "10.1090/S0002-9939-06-08569-8",

language = "English",

volume = "135",

pages = "1163--1168",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "4",

}

TY - JOUR

T1 - Sharp berezin lipschitz estimates

AU - Coburn, L. A.

PY - 2007/4

Y1 - 2007/4

N2 - F.A. Berezin introduced a general "symbol calculus" for linear operators on reproducing kernel Hilbert spaces. For the Segal-Bargmann space H2(Cn, dμ) of Gaussian square-integrable entire functions on complex n-space, Cn, or for the Bergman spaces A2(ω) of Euclidean volume square-integrable holomorphic functions on bounded domains. in Cn, we show here that earlier Lipschitz estimates for Berezin symbols of arbitrary bounded operators are sharp.

AB - F.A. Berezin introduced a general "symbol calculus" for linear operators on reproducing kernel Hilbert spaces. For the Segal-Bargmann space H2(Cn, dμ) of Gaussian square-integrable entire functions on complex n-space, Cn, or for the Bergman spaces A2(ω) of Euclidean volume square-integrable holomorphic functions on bounded domains. in Cn, we show here that earlier Lipschitz estimates for Berezin symbols of arbitrary bounded operators are sharp.

UR - https://www.scopus.com/pages/publications/62549115389

U2 - 10.1090/S0002-9939-06-08569-8

DO - 10.1090/S0002-9939-06-08569-8

M3 - Article

AN - SCOPUS:62549115389

SN - 0002-9939

VL - 135

SP - 1163

EP - 1168

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

Sharp berezin lipschitz estimates

Abstract

Access to Document

Other files and links

Fingerprint

Cite this