Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (2): 252-.

• Articles • Previous Articles     Next Articles

COMPOSITION OPERATORS FROM B-{\ alpha} TO F(p, q, s)

 JIANG Li-Jian, HE Yo-Zan   

  1. Institute of Mathematics, Academia Sinica, Beijing 100080, China
  • Online:2003-04-07 Published:2003-04-07
  • Supported by:

    Received January 19, 2001; revised January 16, 2002. Project supported by the National Natural Science
    Foundation of China

Abstract:

Necessary and sufficient conditions are given for
a composition operator $C_{\phi}f=f \circ \phi$ to be bounded and
compact from $B^{\alpha}$
to $ F(p,q,s)$.

Key words: Function space, Carleson measure, composition operator

CLC Number: 

  • 47B38
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