Boundedness and Compactness of Toeplitz operators with L^1 symbols on the Bergman space
Complex Variables
2012-11-14 v2 Classical Analysis and ODEs
Abstract
We characterise the boundedness of a Toeplitz operator on the Bergman space with an L^1 symbol.We also prove that the compactness of a Toeplitz operator on the Bergman space with an L^1 symbol is completely determined by the boundary behaviour of itss Berezin transform. This result extends known results in the cases when the symbol is either a positive L^1 function, an L^\infty function or a general BMO^1 function.
Keywords
Cite
@article{arxiv.0708.2611,
title = {Boundedness and Compactness of Toeplitz operators with L^1 symbols on the Bergman space},
author = {Dieudonne Agbor},
journal= {arXiv preprint arXiv:0708.2611},
year = {2012}
}
Comments
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