Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (3): 195-301.

• Articles •     Next Articles

M¨|OBIUS INVARIANT GRADIENT AND LITTLE α-BLOCH FUNCTIONS

 ZHUO Wen-Xin, OU Yang-Cai-Heng   

  1. Department of Mathematics, Zhejiang University of Technology, Hangzhou 310014, China Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • Online:2002-07-15 Published:2002-07-15

Abstract:

In this paper, the authors get the characterizations of the integral and Carleson type measure both associated with the invariant gradient for little -Bloch functions in the unit ball of Cn. As a consequence, some results of Ouyang C H, Yang W S and Zhao R H in [4] and a result of Yang W S in [10] are extended.

Key words: Invariant gradient, little -Bloch function, vanishing q-Carleson measure

CLC Number: 

  • 32A37
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