Toeplitz operators on weighted spaces of holomorphic functions | Zendy

A. V. Harutyunyan | Zendy; Wolfgang Lusky | Zendy

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Toeplitz operators on weighted spaces of holomorphic functions

Author(s) -

A. V. Harutyunyan,

Wolfgang Lusky

Publication year - 2008

Publication title -

mathematica scandinavica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.553

H-Index - 30

eISSN - 1903-1807

pISSN - 0025-5521

DOI - 10.7146/math.scand.a-15067

Subject(s) - mathematics , holomorphic function , toeplitz matrix , compact space , toeplitz operator , unit disk , norm (philosophy) , pure mathematics , complex plane , spectrum (functional analysis) , operator (biology) , operator norm , operator theory , algebra over a field , mathematical analysis , biochemistry , chemistry , physics , repressor , quantum mechanics , political science , transcription factor , law , gene

We define a notion of Toeplitz operator on certain spaces of holomorphic functions on the unit disk and on the complex plane which are endowed with a weighted sup-norm. We establish boundedness and compactness conditions, give norm estimates and characterize the essential spectrum of these operators for many symbols.

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