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.

Bibliografiset tiedot
Päätekijät: F. Jafari, R. Raposa
Aineistotyyppi: Artikkeli
Kieli:English
Julkaistu: Wiley 1999-01-01
Sarja:International Journal of Mathematics and Mathematical Sciences
Aiheet:
Linkit:http://dx.doi.org/10.1155/S0161171299227391