scholarly journals Berezin transforms on noncommutative polydomains

2015 ◽  
Vol 368 (6) ◽  
pp. 4357-4416 ◽  
Author(s):  
Gelu Popescu
Keyword(s):  
Berezin Transforms

scholarly journals The Berezin Transform of Toeplitz Operators on the Weighted Bergman Space

2021 ◽  
Author(s):  
Cezhong Tong ◽  
Junfeng Li ◽  
Hicham Arroussi
Keyword(s):  
Bergman Space ◽  
Toeplitz Operators ◽  
Reproducing Kernel ◽  
Bergman Spaces ◽  
Essential Norm ◽  
Berezin Transform ◽  
Weighted Bergman Space ◽  
Weighted Bergman Spaces ◽  
Kernel Estimates ◽  
Berezin Transforms

AbstractIn this paper, we obtain some interesting reproducing kernel estimates and some Carleson properties that play an important role. We characterize the bounded and compact Toeplitz operators on the weighted Bergman spaces with Békollé-Bonami weights in terms of Berezin transforms. Moreover, we estimate the essential norm of them assuming that they are bounded.

scholarly journals On convergence of the Berezin transforms

2020 ◽  
Vol 491 (1) ◽  
pp. 124295
Author(s):  
Nihat Gökhan Göğüş ◽  
Sönmez Şahutoğlu
Keyword(s):  
Berezin Transforms

scholarly journals Carleson measures for Bergman spaces and their dual Berezin transforms

2009 ◽  
Vol 137 (12) ◽  
pp. 4143-4155 ◽  
Author(s):  
Boo Rim Choe ◽  
Hyungwoon Koo ◽  
Michael Stessin
Keyword(s):  
Bergman Spaces ◽  
Carleson Measures ◽  
Berezin Transforms

Fixed Points of Poly-Berezin Transforms

2019 ◽  
Vol 13 (8) ◽  
pp. 3695-3716
Author(s):  
Lijia Ding ◽  
Wei He
Keyword(s):  
Fixed Points ◽  
Berezin Transforms

scholarly journals On the closed range problem for composition operators on the Dirichlet space

2019 ◽  
Vol 6 (1) ◽  
pp. 76-81
Author(s):  
Nina Zorboska
Keyword(s):  
Toeplitz Operators ◽  
Composition Operators ◽  
Dirichlet Space ◽  
Closed Range ◽  
Berezin Transforms

Abstract We characterize closed range composition operators on the Dirichlet space for a particular class of composition symbols. The characterization relies on a result about Fredholm Toeplitz operators with BMO1 symbols, and with Berezin transforms of vanishing oscillation.

Singular Berezin Transforms

2007 ◽  
Vol 1 (4) ◽  
pp. 533-548 ◽  
Author(s):  
Miroslav Engliš
Keyword(s):  
Berezin Transforms

scholarly journals Positive Toeplitz Operators of Schatten–Herz Type

2007 ◽  
Vol 185 ◽  
pp. 31-62 ◽  
Author(s):  
Boorim Choe ◽  
Hyungwoon Koo ◽  
Kyunguk Na
Keyword(s):  
Recent Work ◽  
Bergman Space ◽  
Toeplitz Operators ◽  
Harmonic Bergman Space ◽  
Berezin Transforms ◽  
Averaging Functions ◽  
Positive Toeplitz Operators

AbstractMotivated by a recent work of Loaiza et al. for the holomorphic case on the disk, we introduce and study the notion of Schatten-Herz type Toeplitz operators acting on the harmonic Bergman space of the ball. We obtain characterizations of positive Toeplitz operators of Schatten-Herz type in terms of averaging functions and Berezin transforms of symbol functions. Our characterization in terms of Berezin transforms settles a question posed by Loaiza et al.

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