On cyclicity in weighted Dirichlet spaces

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On Cyclicity in Weighted Dirichlet Spaces

We extend some results of Brown and Shields on cyclicity to weighted Dirichlet spaces 0<α< 1. We prove a comparison theorem for cyclicity in these spaces and provide a result on the geometry of the family of cyclic vectors in general functional Hilbert spaces.

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 1999

ISSN: 0161-1712,1687-0425

DOI: 10.1155/s0161171299227391