Univalent Functions in the Möbius Invariant QK Space
Joint Authors
Rättyä, Jouni
Pérez-González, Fernando
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
It is shown that a univalent function f belongs to QK if and only if sup a∈?∫01M∞2(r,f∘φa-f(a))K′(log (1/r))dr<∞, where φa(z)=(a-z)/(1-a¯z), provided K satisfies certain regularity conditions.
It is also shown that under these conditions QK contains all univalent Bloch functions if and only if ∫01(log ((1+r)/(1-r)))2K′(log (1/r))dr<∞.
American Psychological Association (APA)
Pérez-González, Fernando& Rättyä, Jouni. 2011. Univalent Functions in the Möbius Invariant QK Space. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-989832
Modern Language Association (MLA)
Pérez-González, Fernando& Rättyä, Jouni. Univalent Functions in the Möbius Invariant QK Space. Abstract and Applied Analysis No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-989832
American Medical Association (AMA)
Pérez-González, Fernando& Rättyä, Jouni. Univalent Functions in the Möbius Invariant QK Space. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-989832
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-989832