Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (5): 851-860.

• Articles • Previous Articles     Next Articles

Bloch-to-BMOA Pullbacks in Several Complex Variables

 FANG Zhong-Shan1,2, ZHOU Ze-Hua1   

  1. 1.Department of Mathematics, Tianjin University, Tianjin 300072|2.Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387
  • Received:2010-09-18 Revised:2012-02-25 Online:2012-10-25 Published:2012-10-25
  • Supported by:

    国家自然科学基金(10971153, 10671141)资助

Abstract:

For a given holomorphic map φ from unit ball Bm to polydisk Dn, the present paper investigates the Bloch-to-BMOA composition property (pullback property) of φ. More precisely, a sufficient and necessary condition is given that the pullback property from the Bloch space Bm on Dn to BMOA on Bm holds. The same result holds when BMOA space is taken by H2(Bm).

Key words: Bloch space, BMOA space, Composition operators, Pullbacks, Polydisc, Unit ball

CLC Number: 

  • 47B38
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