Year: 2010
Author: Kan Zhang, Yufeng Lu, Chaomei Liu
Communications in Mathematical Research , Vol. 26 (2010), Iss. 4 : pp. 304–312
Abstract
In this paper we mainly consider little Hankel operators with square-integrable symbols on the weighted Bergman spaces of the unit ball. We obtain that Schatten class of little Hankel operators is equivalent to Schatten class of positive Toeplitz operators under the conditions that $SMO(f) ∈ L^{\frac{p}{2}}(B_n, dλ)$ and $2 ≤ p < ∞,$ which is very important to research the relation between Toeplitz operators and little Hankel operators.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-CMR-19133
Communications in Mathematical Research , Vol. 26 (2010), Iss. 4 : pp. 304–312
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: weighted Bergman space little Hankel operator unit ball.