Toeplitz operators on weighted spaces of holomorphic functions

Autores: Anahit Harutyunyan
Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 103, Nº 1, 2008, págs. 40-52
Idioma: inglés
DOI: 10.7146/math.scand.a-15067
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Resumen
- We define a notion of Toeplitz operator on certain spaces of holomorphic functions on the unit disk and on the complex plane which are endowedwith aweighted sup-norm.We establish boundedness and compactness conditions, give norm estimates and characterize the essential spectrum of these operators for many symbols.