On some linear operators on Fock type space

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Удк 517.98 Linear Operators on Abramovich–wickstead Type Space

CD0-type spaces were firstly introduced by Yu. A. Abramovich and A. W. Wickstead in [1] and [2] and further investigated by S. Alpay and Z. Ercan in [3]. CD0-type spaces deserve to be called Abramovich–Wickstead spaces, or briefly AW -space as in [4], since they mainly stem from the works of Yu. A. Abramovich and A. W. Wickstead. In this note we construct a new type AW -space and call it CDr 0 ...

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Boundedness and Compactness of Operators on the Fock Space

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Normal and isometric weighted composition operators on the Fock space

We obtain new and simple characterizations for the boundedness and compactness of weighted composition operators on the Fock space over C. We also describe all weighted composition operators that are normal or isometric.

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Products of Toeplitz Operators on the Fock Space

Let f and g be functions, not identically zero, in the Fock space F 2 α of C. We show that the product TfTg of Toeplitz operators on F 2 α is bounded if and only if f(z) = e q(z) and g(z) = ce−q(z), where c is a nonzero constant and q is a linear polynomial.

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ژورنال

عنوان ژورنال: Ufa Mathematical Journal

سال: 2018

ISSN: 2074-1863,2074-1871

DOI: 10.13108/2018-10-4-85