Cantor sets and cyclicity in weighted Dirichlet spaces
Complex Variables
2010-12-30 v1 Classical Analysis and ODEs
Abstract
We treat the problem of characterizing the cyclic vectors in the weighted Dirichlet spaces, extending some of our earlier results in the classical Dirichlet space. The absence of a Carleson-type formula for weighted Dirichlet integrals necessitates the introduction of new techniques.
Keywords
Cite
@article{arxiv.1001.4864,
title = {Cantor sets and cyclicity in weighted Dirichlet spaces},
author = {Omar El-Fallah and Karim Kellay and Thomas Ransford},
journal= {arXiv preprint arXiv:1001.4864},
year = {2010}
}