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Integral means of harmonic univalent functions
Author
Source
The Arabian Journal for Science and Engineering
Issue
Vol. 19, Issue 2A (30 Apr. 1994), pp.203-208, 6 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
1994-04-30
Country of Publication
Saudi Arabia
No. of Pages
6
Main Subjects
Abstract EN
Let SH denote the class of all functions f = h + g that are complex-valued, harmonic, orientation preserving, and univalent in the open unit disc U, where h and g are analytic in U.
In this paper we show that if fЄ SH and h has a bounded spherical area, then the radial limits for h, g, and f exist everywhere except for a set of logarithmic capacity zero.
We also show that if f e SH and/is convex or close-to-convex, then h, g Є Hp and/Є hp, for some specific values of p > 0, where Hp and h p are the Hardy spaces of order p for analytic and harmonic functions respectively.
American Psychological Association (APA)
Taha, T. S.. 1994. Integral means of harmonic univalent functions. The Arabian Journal for Science and Engineering،Vol. 19, no. 2A, pp.203-208.
https://search.emarefa.net/detail/BIM-394917
Modern Language Association (MLA)
Taha, T. S.. Integral means of harmonic univalent functions. The Arabian Journal for Science and Engineering Vol. 19, no. 2A (Apr. 1994), pp.203-208.
https://search.emarefa.net/detail/BIM-394917
American Medical Association (AMA)
Taha, T. S.. Integral means of harmonic univalent functions. The Arabian Journal for Science and Engineering. 1994. Vol. 19, no. 2A, pp.203-208.
https://search.emarefa.net/detail/BIM-394917
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 207-208
Record ID
BIM-394917