Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (3): 404-412.

• Articles • Previous Articles     Next Articles

COMPOSITION OPERATOR ON BERS-TYPE SPACES

 HE Wei-Xiang, JIANG Li-Jian   

  1. Department Of Mathemattics, Helsinki University Of Technology, Finland Institute of Mathematics, Academia Sinica, Beijing 100080, China
  • Online:2002-07-15 Published:2002-07-15
  • Supported by:

    Supported by the National Natural Science Foundation of China (19971091)

Abstract:

Necessary and sufficient conditions are established for a composition operator C'f = f ?' to be bounded or compact on the Bers-type space H1
and the little Bers-type space H1 . The boundedness and compactness of the composition operator C' on A1(') are characterized, which generalize the case of C' on H1

Key words: Composition operator, Bers-type space, boundedness, compactness

CLC Number: 

  • 47B38
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