Integral means for the first derivative of Blaschke products

Kodai Mathematical Journal

Mirwan Amin Kutbi¹ 

[1] DEPARTMENT OF MATHEMATICS KING ABDULAZIZ UNIVERSITY

关键词: Lie group;    self map;    nilpotency class;    Morava K-theory;   

DOI  :  10.2996/kmj/1106157298

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(7)Suppose that B(z, {ak}) is a Blaschke product associated with the sequence {ak}. If ∑k=1∞(1−|ak|)α<∞ for some α in (0, 1/2), it is known that B'(z, {ak})∈Hp for all p in (0, 1−α]. We extend this result by considering the situation when p>1−α. In these cases we obtain that B'(z, {ak})∉Hp. We then give some counterexamples to indicate to what extent our results may be regarded as being best possible.

【 授权许可】

Unknown