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Toeplitz operators on Fock-Sobolev type spaces

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Author(s): Hong Rae Cho , Joshua Isralowitz , Jae-Cheon Joo

Publication date Created: 18 July 2013

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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.

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Most cited references 5

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Operator Theory in Function Spaces

Kehe Zhu (2007)

0 comments Cited 62 times – based on 0 reviews

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Toeplitz Operators on the Fock Space

Josh Isralowitz, Kehe Zhu (2010)

0 comments Cited 15 times – based on 0 reviews      Review now

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Sampling in Weighted Lp Spaces of Entire Functions in Cn and Estimates of the Bergman Kernel

Niklas Lindholm (2001)

0 comments Cited 11 times – based on 0 reviews      Review now

Author and article information

Journal

Publication date Created: 18 July 2013

Publication date Updated: 2014-05-22

Article

ArXiV ID: 1307.4829

SO-VID: 7769144a-4fa1-4e88-a507-5e07692d82ba

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

History

Custom metadata

ACM classes 47B35, 32A25, 30H20

Comments v1: 36 pages, no figures, submitted, v2: 33 pages, major stylistic changes made and typos corrected, no figures, submitted

Categories math.CV math.FA

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