Big Hankel Operators on Vector-Valued Fock Spaces in $$\mathbb {C}^d$$ C d

2018 ◽  
Vol 90 (1) ◽  
Author(s):  
Hélène Bommier-Hato ◽  
Olivia Constantin
Keyword(s):  
Hankel Operators ◽  
Fock Spaces ◽  
Vector Valued

The range of block Hankel operators

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3237-3243
Author(s):  
In Hwang ◽  
In Kim ◽  
Sumin Kim
Keyword(s):  
Hardy Space ◽  
Invariant Subspace ◽  
Hankel Operators ◽  
Coprime Factorization ◽  
Backward Shift ◽  
Vector Valued

In this note we give a connection between the closure of the range of block Hankel operators acting on the vector-valued Hardy space H2Cn and the left coprime factorization of its symbol. Given a subset F ? H2Cn, we also consider the smallest invariant subspace S*F of the backward shift S* that contains F.

Products of Toeplitz and Hankel Operators on Fock Spaces

2020 ◽  
Vol 92 (3) ◽  
Author(s):  
Fugang Yan ◽  
Dechao Zheng
Keyword(s):  
Hankel Operators ◽  
Fock Spaces

Small Hankel operators between Fock spaces

2018 ◽  
Vol 64 (3) ◽  
pp. 409-419
Author(s):  
Ermin Wang ◽  
Zhangjian Hu
Keyword(s):  
Hankel Operators ◽  
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

On Hankel operators between Fock spaces

2020 ◽  
Vol 14 (3) ◽  
pp. 871-893
Author(s):  
Xiaofen Lv ◽  
Zhangjian Hu
Keyword(s):  
Hankel Operators ◽  
Fock Spaces

Hankel Operators Between Fock Spaces

2018 ◽  
Vol 90 (3) ◽  
Author(s):  
Zhangjian Hu ◽  
Ermin Wang
Keyword(s):  
Hankel Operators ◽  
Fock Spaces

scholarly journals Hankel Operators on Fock Spaces and Related Bergman Kernel Estimates

2011 ◽  
Vol 23 (1) ◽  
pp. 170-201 ◽  
Author(s):  
Kristian Seip ◽  
El Hassan Youssfi
Keyword(s):  
Bergman Kernel ◽  
Hankel Operators ◽  
Fock Spaces ◽  
Kernel Estimates

scholarly journals OPERATORS ON BERGMAN SPACES

2021 ◽  
Vol 56 (5) ◽  
pp. 399-403
Author(s):  
Kifah Y. Alhami
Keyword(s):  
Invariant Subspace ◽  
Bergman Space ◽  
Hardy Spaces ◽  
Complex Analysis ◽  
Bergman Spaces ◽  
Hankel Operators ◽  
Space Theory ◽  
Shift Operators ◽  
The Core ◽  
Vector Valued

Bergman space theory has been at the core of complex analysis research for many years. Indeed, Hardy spaces are related to Bergman spaces. The popularity of Bergman spaces increased when functional analysis emerged. Although many researchers investigated the Bergman space theory by mimicking the Hardy space theory, it appeared that, unlike their cousins, Bergman spaces were more complex in different aspects. The issue of invariant subspace constitutes one common problem in mathematics that is yet to be resolved. For Hardy spaces, each invariant subspace for shift operators features an elegant description. However, the method for formulating particular structures for the large invariant subspace of shift operators upon Bergman spaces is still unknown. This paper aims to characterize bounded Hankel operators involving a vector-valued Bergman space compared to other different vector value Bergman spaces.

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