Toeplitz-Superposition Operators on Analytic Bloch Spaces | Zendy

M‎. ‎A‎. ‎Bakhit | Zendy; A‎. ‎El-Sayed Ahmed | Zendy

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Toeplitz-Superposition Operators on Analytic Bloch Spaces

Author(s) -

M‎. ‎A‎. ‎Bakhit,

A‎. ‎El-Sayed Ahmed

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/5546833

Subject(s) - toeplitz matrix , mathematics , bounded function , holomorphic function , superposition principle , operator theory , pure mathematics , class (philosophy) , analytic function , mathematical analysis , algebra over a field , computer science , artificial intelligence

The important purpose of this current work is to study a new class of operators, the so-called Toeplitz-superposition operators as an expansion of the weighted known composition operators, induced by such continuous entire functions mapping on bounded specific sets. Minutely, we have deeply discussed the conditions for boundedness of this new type of operators between certain types of some holomorphic Bloch classes with some specific values of the weighted functions.

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