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Título:
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Exceptional sets and Hilbert–Schmidt composition operators
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Autores:
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Gallardo Gutiérrez, Eva A. ;
González, María J.
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2003
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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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It is shown that an analytic map phi of the unit disk into itself inducing a Hilbert-Schmidt composition operator on the Dirichlet space has the property that the set E-phi = {e(i0)is an element ofpartial derivativeD : \phi(e(10))\ = 1 has zero logarithmic capacity. We also show that this is no longer true for compact composition operators on the Dirichlet space. Moreover, such a condition is not even satisfied by Hilbert-Schmidt composition operators on the Hardy space.
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En línea:
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https://eprints.ucm.es/id/eprint/21122/1/Gallardo21oficial.pdf
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