Bao, Guanlong and Göğüş, Nihat Gökhan and Pouliasis, Stamatis (2017) Q(p) spaces and Dirichlet type spaces. Canadian Mathematical Bulletin, 60 (4). pp. 690704. ISSN 00084395 (Print) 14964287 (Online)
This is the latest version of this item.
Official URL: http://dx.doi.org/10.4153/CMB20170061
Abstract
In this paper, we show that the Mobius invariant function space Q(p) can be generated by variant Dirichlet type spaces Dmu,Dp induced by finite positive Borel measures mu on the open unit disk. A criterion for the equality between the space Dmu,Dp and the usual Dirichlet type space Dp is given. We obtain a sufficient condition to construct different Dmu,Dp spaces and provide examples. We establish decomposition theorems for 9) Dmu,Dp spaces and prove that the nonHilbert space Q(p) is equal to the intersection of Hilbert spaces Dmu,Dp. As an application of the relation between Q(p) and Dmu,Dp spaces, we also obtain that there exist different Dmu,Dp 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

Qp spaces and Dirichlet type spaces. (deposited 10 Sep 2017 19:03)
 Q(p) spaces and Dirichlet type spaces. (deposited 13 Apr 2018 15:34) [Currently Displayed]