Toeplitz Operators on Fock–Sobolev Type Spaces

Hong Rae Cho; Joshua Isralowitz; Jae Cheon Joo

doi:10.1007/s00020-015-2223-8

Toeplitz Operators on Fock–Sobolev Type Spaces

Hong Rae Cho
, Joshua Isralowitz^*
, Jae Cheon Joo

^*Corresponding author for this work

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

16 Scopus citations

Abstract

In this paper, we characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on weighted Fock–Sobolev spaces of fractional order.

Original language	English
Pages (from-to)	1-32
Number of pages	32
Journal	Integral Equations and Operator Theory
Volume	82
Issue number	1
DOIs	https://doi.org/10.1007/s00020-015-2223-8
State	Published - 1 May 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015, Springer Basel.

Keywords

Fock–Sobolev space
Schatten class
Toeplitz operator
weighted Fock space

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/s00020-015-2223-8

Cite this

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title = "Toeplitz Operators on Fock–Sobolev Type Spaces",

abstract = "In this paper, we characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on weighted Fock–Sobolev spaces of fractional order.",

keywords = "Fock–Sobolev space, Schatten class, Toeplitz operator, weighted Fock space",

author = "Cho, \{Hong Rae\} and Joshua Isralowitz and Joo, \{Jae Cheon\}",

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year = "2015",

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doi = "10.1007/s00020-015-2223-8",

language = "English",

volume = "82",

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T1 - Toeplitz Operators on Fock–Sobolev Type Spaces

AU - Cho, Hong Rae

AU - Isralowitz, Joshua

AU - Joo, Jae Cheon

PY - 2015/5/1

Y1 - 2015/5/1

N2 - In this paper, we characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on weighted Fock–Sobolev spaces of fractional order.

AB - In this paper, we characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on weighted Fock–Sobolev spaces of fractional order.

KW - Fock–Sobolev space

KW - Schatten class

KW - Toeplitz operator

KW - weighted Fock space

UR - https://www.scopus.com/pages/publications/84939975915

U2 - 10.1007/s00020-015-2223-8

DO - 10.1007/s00020-015-2223-8

M3 - Article

AN - SCOPUS:84939975915

SN - 0378-620X

VL - 82

SP - 1

EP - 32

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 1

ER -

Toeplitz Operators on Fock–Sobolev Type Spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this