Chinese Quarterly Journal of Mathematics ›› 1997, Vol. 12 ›› Issue (3): 50-58.

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A Kind of Generalized Hankel Operator

  

  1. Department of Mathematics,University of Science and Technology of China
  • Received:1996-10-24 Online:1997-09-30 Published:2024-11-25
  • Supported by:
    Supported by the National Natural Sciences Fundations and the Nationai Education Committee Doctoral Fundations

Abstract: In this paper,we introduce some opeators on Bergman space (B) that generalize a kind of generalized Hankel operator defined by M. M. Peloso. For such operators we prove boundedness, compactness and Schatten class property criteria.On the eut-off c(N) we know that the phenomenon founded by Peloso is an exceptional case.

Key words: Hankel operator, Schatten class

CLC Number: