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Título:
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Locally univalent functions, VMOA and the Dirichlet space
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Autores:
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Gallardo Gutiérrez, Eva A. ;
González, M. J. ;
Pérez González, Fernando ;
Pommerenke, Christian ;
Rattya, Jouni
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Tipo de documento:
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texto impreso
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Editorial:
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Oxford University Press (OUP), 2013-03
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Funciones (Matemáticas)
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Tipo = Artículo
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Resumen:
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We study geometric properties of the image of the unit circle under a bounded locally univalent function g such that log g' belongs either to the Dirichlet space D, VMOA or the little Bloch space B-0. Concerning VMOA and B-0, our findings generalize the corresponding results for conformal maps shown by Pommerenke in the late 1970s. In the case of D, we give a strictly geometric necessary condition for g to satisfy log g'is an element of D, and also offer two different 'semi-geometric' characterizations of when log g'is an element of D.
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En línea:
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https://eprints.ucm.es/id/eprint/22152/1/Gallardo24libre.pdf
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