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arXiv · 1204.5548

The Essential Norm of Operators on $A^p_α(\mathbb{B}_n)$

Mishko Mitkovski·Daniel Suárez·Brett D. Wick
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Abstract

In this paper we characterize the compact operators on $A^p_α(\mathbb{B}_n)$ when $1 -1$. The main result shows that an operator on $A^p_α(\mathbb{B}_n)$ is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanishes on the boundary of the ball.

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Mishko Mitkovski, Daniel Suárez, Brett D. Wick. 2012-10-17. The Essential Norm of Operators on $A^p_α(\mathbb{B}_n)$. https://arxiv.org/abs/1204.5548

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