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Little Hankel Operators on the Weighted Bergman Space of the Unit Ball

Little Hankel Operators on the Weighted Bergman Space of the Unit Ball
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摘要 In this paper we mainly consider little Hankel operators with squareintegrable 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 p/2 (B n,dλ) and 2 ≤ p ∞,which is very important to research the relation between Toeplitz operators and little Hankel operators. In this paper we mainly consider little Hankel operators with squareintegrable 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 p/2 (B n,dλ) and 2 ≤ p ∞,which is very important to research the relation between Toeplitz operators and little Hankel operators.
出处 《Communications in Mathematical Research》 CSCD 2010年第4期304-312,共9页 数学研究通讯(英文版)
基金 The NSF (10671028) of China
关键词 weighted Bergman space little Hankel operator unit ball weighted Bergman space little Hankel operator unit ball
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