Standard

Toeplitz Operators Defined by Sesquilinear Forms : Bergman Space Case. / Rozenblum, G.; Vasilevski, N.

In: Journal of Mathematical Sciences (United States), Vol. 213, No. 4, 2016, p. 582-609.

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

Harvard

Rozenblum, G & Vasilevski, N 2016, 'Toeplitz Operators Defined by Sesquilinear Forms: Bergman Space Case', Journal of Mathematical Sciences (United States), vol. 213, no. 4, pp. 582-609. https://doi.org/10.1007/s10958-016-2726-0

APA

Rozenblum, G., & Vasilevski, N. (2016). Toeplitz Operators Defined by Sesquilinear Forms: Bergman Space Case. Journal of Mathematical Sciences (United States), 213(4), 582-609. https://doi.org/10.1007/s10958-016-2726-0

Vancouver

Rozenblum G, Vasilevski N. Toeplitz Operators Defined by Sesquilinear Forms: Bergman Space Case. Journal of Mathematical Sciences (United States). 2016;213(4):582-609. https://doi.org/10.1007/s10958-016-2726-0

Author

Rozenblum, G. ; Vasilevski, N. / Toeplitz Operators Defined by Sesquilinear Forms : Bergman Space Case. In: Journal of Mathematical Sciences (United States). 2016 ; Vol. 213, No. 4. pp. 582-609.

BibTeX

@article{f804440f295945be98ace209d306affc,
title = "Toeplitz Operators Defined by Sesquilinear Forms: Bergman Space Case",
abstract = "The definition of Toeplitz operators in the Bergman space [InlineMediaObject not available: see fulltext.] of square integrable analytic functions in the unit disk in the complex plane is extended in such a way that it covers many cases where the traditional definition does not work. This includes, in particular, highly singular symbols such as measures, distributions, and certain hyperfunctions. Bibliography: 22 titles.",
keywords = "Toeplitz operator, Bergman space, Reproduce Kernel Hilbert Space, Rank Operator, Carleson measure",
author = "G. Rozenblum and N. Vasilevski",
note = "Rozenblum, G., Vasilevski, N. Toeplitz Operators Defined by Sesquilinear Forms: Bergman Space Case. J Math Sci 213, 582–609 (2016). https://doi.org/10.1007/s10958-016-2726-0",
year = "2016",
doi = "10.1007/s10958-016-2726-0",
language = "English",
volume = "213",
pages = "582--609",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Toeplitz Operators Defined by Sesquilinear Forms

T2 - Bergman Space Case

AU - Rozenblum, G.

AU - Vasilevski, N.

N1 - Rozenblum, G., Vasilevski, N. Toeplitz Operators Defined by Sesquilinear Forms: Bergman Space Case. J Math Sci 213, 582–609 (2016). https://doi.org/10.1007/s10958-016-2726-0

PY - 2016

Y1 - 2016

N2 - The definition of Toeplitz operators in the Bergman space [InlineMediaObject not available: see fulltext.] of square integrable analytic functions in the unit disk in the complex plane is extended in such a way that it covers many cases where the traditional definition does not work. This includes, in particular, highly singular symbols such as measures, distributions, and certain hyperfunctions. Bibliography: 22 titles.

AB - The definition of Toeplitz operators in the Bergman space [InlineMediaObject not available: see fulltext.] of square integrable analytic functions in the unit disk in the complex plane is extended in such a way that it covers many cases where the traditional definition does not work. This includes, in particular, highly singular symbols such as measures, distributions, and certain hyperfunctions. Bibliography: 22 titles.

KW - Toeplitz operator

KW - Bergman space

KW - Reproduce Kernel Hilbert Space

KW - Rank Operator

KW - Carleson measure

UR - http://www.scopus.com/inward/record.url?scp=84962206168&partnerID=8YFLogxK

U2 - 10.1007/s10958-016-2726-0

DO - 10.1007/s10958-016-2726-0

M3 - Article

AN - SCOPUS:84962206168

VL - 213

SP - 582

EP - 609

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 50650447