On Hankel operators between Fock spaces
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DOI: 10.1007/s43037-019-00043-z
Abstract: In this paper, we characterize the mapping properties of Hankel operators $$H_{g}$$ and $$ H_{\overline{g}}$$ associated to some restricted function g on the complex space $$\mathbf{C}^n$$. We, in particular, describe the boundedness and compactness of… read more here.
Keywords: hankel operators; operators fock; fock spaces;
A class of weighted composition operators on the Fock space
Sign Up to like & getrecommendations! Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2019.1643332
Abstract: ABSTRACT By applying reproducing kernel techniques, a class of weighted composition operators on the Fock space, which are unitarily equivalent to nonzero constant multiple of composition operators, are characterized completely. read more here.
Keywords: weighted composition; operators fock; fock space; composition ... See more keywords
Note on bi-exactness for creation operators on Fock spaces
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DOI: 10.2969/jmsj/86338633
Abstract: In this note, we introduce and study a notion of bi-exactness for creation operators acting on full, symmetric and anti-symmetric Fock spaces. This is a generalization of our previous work, in which we studied the… read more here.
Keywords: exactness creation; fock spaces; creation operators; note exactness ... See more keywords