scholarly journals Littlewood-Paley Formulas and Carleson Measures for Weighted Fock Spaces Induced by A ∞ $A_{\infty }$ -Type Weights

2018 ◽  
Vol 50 (2) ◽  
pp. 221-244
Author(s):  
Carme Cascante ◽  
Joan Fàbrega ◽  
José A. Peláez
Keyword(s):  
Carleson Measures ◽  
Fock Spaces ◽  
Weighted Fock Spaces

Hankel Operators on Weighted Fock Spaces

2007 ◽  
Vol 59 (1) ◽  
pp. 1-17 ◽  
Author(s):  
Hélène Bommier-Hato ◽  
El Hassan Youssfi
Keyword(s):  
Hankel Operators ◽  
Fock Spaces ◽  
Weighted Fock Spaces

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.

A Class of Reverse Carleson Measures on Doubling Fock Spaces

2018 ◽  
Vol 13 (4) ◽  
pp. 1795-1809
Author(s):  
Zengjian Lou ◽  
Zhengyuan Zhuo
Keyword(s):  
Carleson Measures ◽  
Fock Spaces
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