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Título:
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On the connected component of compact composition operators on the Hardy space
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Autores:
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Gallardo Gutiérrez, Eva A. ;
González, María J. ;
Nieminen, Pekka J. ;
Saksman, Eero
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Tipo de documento:
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texto impreso
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Editorial:
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Elsvier, 2008
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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/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis matemático
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Tipo = Artículo
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Resumen:
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We show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space H-2. This answers a question posed by Shapiro and Sundberg in 1990. We also establish an improved version of a theorem of MacCluer, giving a lower bound for the essential norm of a difference of composition operators in terms of the angular derivatives of their symbols. As a main tool we use Aleksandrov-Clark measures.
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En línea:
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https://eprints.ucm.es/id/eprint/21047/1/Gallardo09oficial.pdf
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