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Abstract:

We study the class of maps from the open unit disk into the Riemann sphere or into [-∞, +∞] that can be continuously extended to the maximal ideal space of H∞. Several characterizations are given for these classes and the subclasses of meromorphic and harmonic functions in terms of cluster sets, spherical gradients, and Carleson measures. © 2001 Academic Press.

Registro:

Documento: Artículo
Título:Meromorphic and Harmonic Functions Inducing Continuous Maps from MH∞ into the Riemann Sphere
Autor:Suárez, D.
Filiación:Departamento de Matemática, Facultad de Cs. Exactas y Naturales, Ciudad Universitaria, Pab. I, 1428 Nunez, Capital Federal, Argentina
Palabras clave:Continuous extensions; meromorphic and harmonic functions
Año:2001
Volumen:183
Número:1
Página de inicio:164
Página de fin:210
DOI: http://dx.doi.org/10.1006/jfan.2000.3710
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_v183_n1_p164_Suarez

Referencias:

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Citas:

---------- APA ----------
(2001) . Meromorphic and Harmonic Functions Inducing Continuous Maps from MH∞ into the Riemann Sphere. Journal of Functional Analysis, 183(1), 164-210.
http://dx.doi.org/10.1006/jfan.2000.3710
---------- CHICAGO ----------
Suárez, D. "Meromorphic and Harmonic Functions Inducing Continuous Maps from MH∞ into the Riemann Sphere" . Journal of Functional Analysis 183, no. 1 (2001) : 164-210.
http://dx.doi.org/10.1006/jfan.2000.3710
---------- MLA ----------
Suárez, D. "Meromorphic and Harmonic Functions Inducing Continuous Maps from MH∞ into the Riemann Sphere" . Journal of Functional Analysis, vol. 183, no. 1, 2001, pp. 164-210.
http://dx.doi.org/10.1006/jfan.2000.3710
---------- VANCOUVER ----------
Suárez, D. Meromorphic and Harmonic Functions Inducing Continuous Maps from MH∞ into the Riemann Sphere. J. Funct. Anal. 2001;183(1):164-210.
http://dx.doi.org/10.1006/jfan.2000.3710