Results 11 to 20 of about 731,235 (136)

Toeplitz operators with BMO symbols and the Berezin transform

International Journal of Mathematics and Mathematical Sciences, 2003
We prove that the boundedness and compactness of the Toeplitz operator on the Bergman space with a BMO1 symbol is completely determined by the boundary behaviour of its Berezin transform. This result extends the known results in the cases when the symbol
Nina Zorboska
doaj   +3 more sources

(m,λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk [PDF]

Journal of Function Spaces, 2016
We prove that every bounded linear operator on weighted Bergman space over the polydisk can be approximated by Toeplitz operators under some conditions. The main tool here is the so-called (m,λ)-Berezin transform.
Ran Li, Yufeng Lu
doaj   +2 more sources

Berezin-Toeplitz Quantization and Berezin Transform [PDF]

, 2000
In this lecture results on the Berezin-Toeplitz quantization of arbitrary compact quantizable Kähler manifolds are presented. These results are obtained in joint work with M. Bordemann and E. Meinrenken.
Schlichenmaier, Martin, MARTIN SCHLICHENMAIER   +1 more
core   +2 more sources

Multiplication Operator with BMO Symbols and Berezin Transform

Journal of Function Spaces, 2015
We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.
Xue Feng, Kan Zhang, Jianguo Dong, Xianmin Liu, Chi Guan   +4 more
doaj   +1 more source

Berezin transform and Toeplitz operators on polygonal domains [PDF]

, 2022
We consider reflexive Bergman spaces A(p)(Omega) on polygonal domains Omega of the complex plane. With some restrictions to the angles of the boundary of Omega, we show that the boundedness of the Toeplitz operator T-g : A(p)(Omega) -> A(p)(Omega) with a
Taskinen, Jari
core   +1 more source

Berezin transform of slice functions

, 2017
In a recent paper, we introduced the Berezin transform of quaternionic linear operators and we obtained some properties in the setting of weighted Bergman spaces of slice hyperholomorphic functions.
Gantner, J., Colombo, F., Janssens, T., Janssens, Tim   +3 more
core   +1 more source

Schatten class Toeplitz operators on Bergman spaces with almost standard weights [PDF]

Journal of Mahani Mathematical Research
We study Schatten class Toeplitz operators on weighted Bergman spaces induced by almost standard radial weights on the unit disk. We obtain a complete characterization of such operators generated by positive Borel measures.
Kobra Esmaeili
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On the range of the Berezin transform [PDF]

, 2004
We study the range of the Berezin transform B. More precisely, we characterize all triples (f,g,u) where f and g are non-constant holomorphic functions on the unit disc D in the complex plane and u is integrable on D such that fḡ=Bu.
Ahern, Patrick, Patrick Ahern
core   +1 more source

Toeplitz Operators on the Bergman Space of Planar Domains with Essentially Radial Symbols

International Journal of Mathematics and Mathematical Sciences, 2011
We study the problem of the boundedness and compactness of 𝑇𝜙 when 𝜙∈𝐿2(Ω) and Ω is a planar domain. We find a necessary and sufficient condition while imposing a condition that generalizes the notion of radial symbol on the disk.
Roberto C. Raimondo
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Schatten Class Toeplitz Operators on the Bergman Space

International Journal of Mathematics and Mathematical Sciences, 2009
We have shown that if the Toeplitz operator Tϕ on the Bergman space La2(𝔻) belongs to the Schatten class Sp,1 ...
Namita Das
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