Open AccessToeplitz 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.