Artículos de revistas
The Essential Norm of Operators on Ap α(Bn)
Fecha
2013-01Registro en:
Mitkovski, Mishko; Suarez, Fernando Daniel; Wick, Brett D.; The Essential Norm of Operators on Ap α(Bn); Birkhauser Verlag Ag; Integral Equations And Operator Theory; 75; 2; 1-2013; 197-233
0378-620X
Autor
Mitkovski, Mishko
Suarez, Fernando Daniel
Wick, Brett D.
Resumen
In this paper we characterize the compact operators on the weighted Bergman spaces Ap α(Bn) when 1 <p< ∞ and α > −1. The main result shows that an operator on Ap α(Bn) is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanishes on the boundary of the ball