Carleson Measures and Toeplitz Operators on Doubling Fock Spaces

2019 ◽  
Vol 40 (3) ◽  
pp. 349-362
Author(s):  
Xiaofen Lv
Keyword(s):  
Toeplitz Operators ◽  
Carleson Measures ◽  
Fock Spaces

Schatten-p class (0 < p ≤ ∞) Toeplitz operators on generalized Fock spaces

2015 ◽  
Vol 31 (4) ◽  
pp. 703-714 ◽  
Author(s):  
Lian Hua Xiao ◽  
Xiao Feng Wang ◽  
Jin Xia
Keyword(s):  
Toeplitz Operators ◽  
Fock Spaces

scholarly journals Toeplitz operators on doubling Fock spaces

2016 ◽  
Vol 435 (2) ◽  
pp. 1426-1457 ◽  
Author(s):  
Roc Oliver ◽  
Daniel Pascuas
Keyword(s):  
Toeplitz Operators ◽  
Fock Spaces

scholarly journals Toeplitz operators and Carleson measures on parabolic Bergman spaces

2007 ◽  
Vol 36 (3) ◽  
pp. 563-583 ◽  
Author(s):  
Masaharu NISHIO ◽  
Noriaki SUZUKI ◽  
Masahiro YAMADA
Keyword(s):  
Toeplitz Operators ◽  
Bergman Spaces ◽  
Carleson Measures

scholarly journals Toeplitz Operators with I M O s Symbols between Generalized Fock Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Yiyuan Zhang ◽  
Guangfu Cao ◽  
Li He
Keyword(s):  
Toeplitz Operators ◽  
Fock Space ◽  
Fock Spaces

In this paper, we study the mapping properties of Toeplitz operators T f associated with IMO s   symbols f acting between two generalized Fock spaces F φ p , where 1 < s ≤ ∞ . We characterize bounded or compact Toeplitz operators T f from one generalized Fock space F φ p to another F φ q , respectively, in four cases.

scholarly journals Fredholm Toeplitz operators with VMO symbols and the duality of generalized Fock spaces with small exponents

2019 ◽  
Vol 150 (6) ◽  
pp. 3163-3186
Author(s):  
Zhangjian Hu ◽  
Jani A. Virtanen
Keyword(s):  
Toeplitz Operators ◽  
Complex Space ◽  
Function Spaces ◽  
Weight Functions ◽  
Fock Spaces ◽  
Mean Oscillation ◽  
Weighted Fock Spaces ◽  
First Time

AbstractWe characterize Fredholmness of Toeplitz operators acting on generalized Fock spaces of the n-dimensional complex space for symbols in the space of vanishing mean oscillation VMO. Our results extend the recent characterizations for Toeplitz operators on standard weighted Fock spaces to the setting of generalized weight functions and also allow for unbounded symbols in VMO for the first time. Another novelty is the treatment of small exponents 0 < p < 1, which to our knowledge has not been seen previously in the study of the Fredholm properties of Toeplitz operators on any function spaces. We accomplish this by describing the dual of the generalized Fock spaces with small exponents.

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