Multipliers on Dirichlet type spaces
Functional Analysis
2007-05-23 v1 Complex Variables
Abstract
In this article we examine Dirichlet type spaces in the unit polydisc, and multipliers between these spaces. These results extend the corresponding work of G. D. Taylor in the unit disc. In addition, we consider functions on the polydisc whose restrictions to lower dimensional polydiscs lie in the corresponding Dirichet type spaces. We see that such functions need not be in the Dirichlet type space of the whole polydisc. Similar observations are made regarding multipliers.
Keywords
Cite
@article{arxiv.math/0510193,
title = {Multipliers on Dirichlet type spaces},
author = {Daniel Jupiter and David Redett},
journal= {arXiv preprint arXiv:math/0510193},
year = {2007}
}
Comments
21 pages