Multipliers on Dirichlet type spaces

Details Multipliers on Dirichlet type spaces Multipliers on Dirichlet type spaces

2005-10-10

arxiv.org/abs/math/0510193v1

Mathematics

Functional Analysis

21 pages

Scientific paper

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.

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