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Document Details
Document Type
:
Article In Journal
Document Title
:
Integral means for the $n$'th derivative of Blaschke products
Integral means for the $n$'th derivative of Blaschke products
Subject
:
Integral means for the $n$'th derivative of Blaschke products
Document Language
:
English
Abstract
:
Let be a sequence of nonzero points in the open unit disk satisfying Then the product Known as the Blaschke product, represents a bounded analytic function in and has zeros only at the points This thesis consists of three chapters: The literature of Blaschke products is extensive, so, in Chapter 1, we survey and give a brief review to some background of Blaschke products. Chapter 2 is devoted to Linden's results [ 1 ] about the extention of the work of Protas [ 2 ]. In his work Linden generalized the results of Protas to consider higher order derivatives of Blaschke products. The purpose of Chapter 3 is to comment on Kutbi work [ 8 ], in which he extended Linden's results [ 1 ]. He obtained estimates of the integral means showing that as when Counterexamples are constructed by him to indicate that the estimates are essentially best possible.
ISSN
:
1012-1319
Journal Name
:
Science Journal
Volume
:
25
Issue Number
:
3
Publishing Year
:
1423 AH
2002 AD
Article Type
:
Article
Added Date
:
Monday, June 15, 2009
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
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0
Mirwan
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Doctorate
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