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论文类型：期刊论文

发表时间：2015-07-01

发表刊物：SCIENCE CHINA-MATHEMATICS

收录刊物：SCIE、Scopus

卷号：58

期号：7

页面范围：1461-1472

ISSN号：1674-7283

关键字：dual Toeplitz operator; harmonic Bergman space; Bergman space

摘要：We completely characterize commuting dual Toeplitz operators with bounded harmonic symbols on the harmonic Bergman space of the unit disk. We show that for harmonic phi and psi, S (phi) S (psi) = S (psi) S (phi) on (L (h) (2) )(aSyen) if and only if phi and psi satisfy one of the following conditions: (1) Both phi and psi are analytic on D. (2) Both phi and psi are anti-analytic on D. (3) There exist complex constants alpha and beta, not both 0, such that phi = alpha psi + beta. Furthermore, we give the necessary and sufficient conditions for S (phi) S (psi) = S (phi psi) .