IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
artículos
Título:
The essential norm of operators on $A_\alpha^p (\mathbb{B}_n)$
Autor/es:
M. MITKOVSKI, B. D. WICK Y D. SUÁREZ
Revista:
INTEGRAL EQUATIONS AND OPERATOR THEORY
Editorial:
BIRKHAUSER VERLAG AG
Referencias:
Lugar: BASEL; Año: 2013 vol. 75 p. 197 - 197
ISSN:
0378-620X
Resumen:
In this paper we characterize the compact operators on $A^p_alpha(mathbb{B}_n)$ when $1<p<infty$ and $alpha>-1$.  The main result shows that an operator on $A^p_alpha(mathbb{B}_n)$ is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanishes on the boundary of the ball.