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Bp-Means of B′

  • Javad Mashreghi
Chapter
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Part of the Fields Institute Monographs book series (FIM, volume 31)

Abstract

According to Theorem 6.1, we have
$$B{\prime} \in {\bigcap \nolimits }_{0<p<\frac{1} {2} }{B}^{p}(\mathbb{D})$$
(9.1)
for any Blaschke product B. Compare this result with Theorem 7.12. There is a Blaschke product B such that \(B{\prime}\not\in {B}^{\frac{1} {2} }(\mathbb{D})\). Hence, (9.1) is sharp and the Blaschke condition alone is not enough to conclude further results. Thus, we need to consider the Blaschke sequences which satisfy a stronger growth condition. Two such results are treated below.

Keywords

Blaschke Product Stronger Growth Condition Blaschke Sequence Complex Variables Space Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Javad Mashreghi
    • 1
  1. 1.Département de mathématiques et de statistiqueUniversité LavalQuébecCanada

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