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Abstract:

We characterize the connected components of the subset CN * of H ∞ formed by the products bh, where b is Carleson-Newman Blaschke product and h∈H ∞ is an invertible function. We use this result to show that, except for finite Blaschke products, no inner function in the little Bloch space is in the closure of one of these components. Our main result says that every inner function can be connected with an element of CN * within the set of products uh, where u is inner and h is invertible. We also study some of these issues in the context of Douglas algebras. © 2012 Elsevier Inc..

Registro:

Documento: Artículo
Título:Paths of inner-related functions
Autor:Nicolau, A.; Suárez, D.
Filiación:Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Spain
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, UBA, Pab. I, Ciudad Universitaria, (1428) Núñez, Capital Federal, Argentina
Palabras clave:Carleson-Newman Blaschke products; Connected components; Inner functions
Año:2012
Volumen:262
Número:9
Página de inicio:3749
Página de fin:3774
DOI: http://dx.doi.org/10.1016/j.jfa.2012.01.026
Título revista:Journal of Functional Analysis
Título revista abreviado:J. Funct. Anal.
ISSN:00221236
CODEN:JFUAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v262_n9_p3749_Nicolau

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Citas:

---------- APA ----------
Nicolau, A. & Suárez, D. (2012) . Paths of inner-related functions. Journal of Functional Analysis, 262(9), 3749-3774.
http://dx.doi.org/10.1016/j.jfa.2012.01.026
---------- CHICAGO ----------
Nicolau, A., Suárez, D. "Paths of inner-related functions" . Journal of Functional Analysis 262, no. 9 (2012) : 3749-3774.
http://dx.doi.org/10.1016/j.jfa.2012.01.026
---------- MLA ----------
Nicolau, A., Suárez, D. "Paths of inner-related functions" . Journal of Functional Analysis, vol. 262, no. 9, 2012, pp. 3749-3774.
http://dx.doi.org/10.1016/j.jfa.2012.01.026
---------- VANCOUVER ----------
Nicolau, A., Suárez, D. Paths of inner-related functions. J. Funct. Anal. 2012;262(9):3749-3774.
http://dx.doi.org/10.1016/j.jfa.2012.01.026