International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 4, Pages 739-744
doi:10.1155/S0161171299227391
On cyclicity in weighted Dirichlet spaces
F. Jafari1
and R. Raposa2
1Department of Mathematics, University of Wyoming, Laramie 82071-3036, WY, USA
2Department of Math and CS, Montana State University, Billings 59101, MT, USA
Abstract
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.