Inner Functions in Lipschitz, Besov, and Sobolev Spaces
Joint Authors
Girela, Daniel
Jevtić, Miroljub
González, Cristóbal
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-16
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
We study the membership of inner functions in Besov, Lipschitz, and Hardy-Sobolev spaces, finding conditions that enable an inner function to be in one of these spaces.
Several results in this direction are given that complement or extend previous works on the subject from different authors.
In particular, we prove that the only inner functions in either any of the Hardy-Sobolev spaces Hαp with 1/p≤α<∞ or any of the Besov spaces Bαp, q with 0
Our assertion for the spaces B0∞,q, 0 We prove also that for 2 Furthermore, we obtain distinct results for other values of α relating the membership of an inner function I in the spaces under consideration with the distribution of the sequences of preimages {I-1(a)}, |a|<1. In addition, we include a section devoted to Blaschke products with zeros in a Stolz angle.
American Psychological Association (APA)
Girela, Daniel& González, Cristóbal& Jevtić, Miroljub. 2011. Inner Functions in Lipschitz, Besov, and Sobolev Spaces. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-26.
https://search.emarefa.net/detail/BIM-486204
Modern Language Association (MLA)
Girela, Daniel…[et al.]. Inner Functions in Lipschitz, Besov, and Sobolev Spaces. Abstract and Applied Analysis No. 2011 (2011), pp.1-26.
https://search.emarefa.net/detail/BIM-486204
American Medical Association (AMA)
Girela, Daniel& González, Cristóbal& Jevtić, Miroljub. Inner Functions in Lipschitz, Besov, and Sobolev Spaces. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-26.
https://search.emarefa.net/detail/BIM-486204
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486204