Intersection of harmonically weighted Dirichlet spaces

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Bao, Guanlong and Göğüş, Nihat Gökhan and Pouliasis, Stamatis (2017) Intersection of harmonically weighted Dirichlet spaces. Comptes Rendus Mathematique, 355 (8). pp. 859-865. ISSN 1631-073X (Print) 1778-3569 (Online)

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Abstract

In 1991, S. Richter introduced harmonically weighted Dirichlet spaces D(mu), motivated by his study of cyclic analytic two-isometries. In this paper, we consider boolean AND(mu is an element of P) D(mu), the intersection of D(mu) spaces, where Pis the family of Borel probability measures. Several function-theoretic characterizations of the Banach space boolean AND(mu is an element of P) D(mu) are given. We also show that boolean AND(mu is an element of P) D(mu) is located strictly between some classical analytic Lipschitz spaces and boolean AND(mu is an element of P) D(mu) can be regarded as the endpoint case of analytic Morrey spaces in some sense.
Item Type: Article
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: 01 Mar 2018 15:32
Last Modified: 01 Mar 2018 15:32
URI: https://research.sabanciuniv.edu/id/eprint/34241

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