berezin transforms
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scholarly journals Berezin Transforms Attached to Landau Levels on the Complex Projective Space P^n(ℂ)

2021 ◽  
Vol 17 (4) ◽  
pp. 422-440
Author(s):  
Nizar Demni ◽  
◽  
Zouhaïr Mouayn ◽  
Houda Yaqine ◽  
◽  
...  
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Landau Levels ◽  
Berezin Transforms ◽  
Complex Projective

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

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.

Invertibility of Toeplitz operators via Berezin transforms

2016 ◽  
Vol 75 (2) ◽  
pp. 475-495 ◽  
Author(s):  
Xianfeng Zhao ◽  
Dechao Zheng
Keyword(s):  
Toeplitz Operators ◽  
Berezin Transforms
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