![](/images/graphics-bg.png)
On interpolation in hardy-orlicz spaces
Other Title(s)
حول الاستكمال في فضاءات هاردي-أورلكس
Author
Source
An-Najah University Journal for Research-A : Natural Sciences
Issue
Vol. 27, Issue 1 (31 Dec. 2013), pp.1-26, 26 p.
Publisher
An-Najah National University Deanship of Scientific Research
Publication Date
2013-12-31
Country of Publication
Palestine (West Bank)
No. of Pages
26
Main Subjects
Abstract EN
The Hardy-Orlicz space Hφ is the space of all analytic functions f on the open unit disk D such that the subharmonic function φ(| f |) has a harmonic majorant on D , where φ is a modulus function.
H+φ is the subspace of Hφ consisting of all f φ ∈ H φ such that φ (| f |) has a quasi-bounded harmonic majorant on D.
If φ (x) = x p , 0 < p ≤ 1, then Hφ is the Hardy space Hp and if φ (x) = log(1+ x) , then Hφ is the Nevanlinna class N and H+φ is the Smirnov class N+ .
In this paper we generalize some of N.
Yanagihara's and A.
Hartmann's and others interpolation results from N and N+ to Hφ and H+φ.
For that purpose we generalize a canonical factorization theorem to functions in Hφ or + H+φ and introduce an F-space of complex sequences.
AMS subject Classification: Primary: 46Axx.Secondary: 46E10, 30H05
American Psychological Association (APA)
Misri, Mahmud. 2013. On interpolation in hardy-orlicz spaces. An-Najah University Journal for Research-A : Natural Sciences،Vol. 27, no. 1, pp.1-26.
https://search.emarefa.net/detail/BIM-754154
Modern Language Association (MLA)
Misri, Mahmud. On interpolation in hardy-orlicz spaces. An-Najah University Journal for Research-A : Natural Sciences Vol. 27, no. 1 (2013), pp.1-26.
https://search.emarefa.net/detail/BIM-754154
American Medical Association (AMA)
Misri, Mahmud. On interpolation in hardy-orlicz spaces. An-Najah University Journal for Research-A : Natural Sciences. 2013. Vol. 27, no. 1, pp.1-26.
https://search.emarefa.net/detail/BIM-754154
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 25-26
Record ID
BIM-754154