Q(p) spaces and Dirichlet type spaces

Warning The system is temporarily closed to updates for reporting purpose.

Bao, Guanlong and Göğüş, Nihat Gökhan and Pouliasis, Stamatis (2017) Q(p) spaces and Dirichlet type spaces. Canadian Mathematical Bulletin, 60 (4). pp. 690-704. ISSN 0008-4395 (Print) 1496-4287 (Online)

This is the latest version of this item.

Full text not available from this repository. (Request a copy)


In this paper, we show that the Mobius invariant function space Q(p) can be generated by variant Dirichlet type spaces D-mu,D-p induced by finite positive Borel measures mu on the open unit disk. A criterion for the equality between the space D-mu,D-p and the usual Dirichlet type space D-p is given. We obtain a sufficient condition to construct different D-mu,D-p spaces and provide examples. We establish decomposition theorems for 9) D-mu,D-p spaces and prove that the non-Hilbert space Q(p) is equal to the intersection of Hilbert spaces D-mu,D-p. As an application of the relation between Q(p) and D-mu,D-p spaces, we also obtain that there exist different D-mu,D-p spaces; this is a trick to prove the existence without constructing examples.
Item Type: Article
Uncontrolled Keywords: Q(p) space; Dirichlet type space; Mobius invariant function space
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Nihat Gökhan Göğüş
Date Deposited: 13 Apr 2018 15:34
Last Modified: 13 Apr 2018 15:34
URI: https://research.sabanciuniv.edu/id/eprint/34240

Available Versions of this Item

Actions (login required)

View Item
View Item