TY - JOUR
T1 - Intersection d'espaces de Dirichlet à poids harmonique
AU - Bao, Guanlong
AU - Göğüş, Nihat Gökhan
AU - Pouliasis, Stamatis
N1 - Publisher Copyright:
© 2017 Académie des sciences
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/8
Y1 - 2017/8
N2 - In 1991, S. Richter introduced harmonically weighted Dirichlet spaces D(μ), motivated by his study of cyclic analytic two-isometries. In this paper, we consider ⋂μ∈PD(μ), the intersection of D(μ) spaces, where P is the family of Borel probability measures. Several function-theoretic characterizations of the Banach space ⋂μ∈PD(μ) are given. We also show that ⋂μ∈PD(μ) is located strictly between some classical analytic Lipschitz spaces and ⋂μ∈PD(μ) can be regarded as the endpoint case of analytic Morrey spaces in some sense.
AB - In 1991, S. Richter introduced harmonically weighted Dirichlet spaces D(μ), motivated by his study of cyclic analytic two-isometries. In this paper, we consider ⋂μ∈PD(μ), the intersection of D(μ) spaces, where P is the family of Borel probability measures. Several function-theoretic characterizations of the Banach space ⋂μ∈PD(μ) are given. We also show that ⋂μ∈PD(μ) is located strictly between some classical analytic Lipschitz spaces and ⋂μ∈PD(μ) can be regarded as the endpoint case of analytic Morrey spaces in some sense.
UR - http://www.scopus.com/inward/record.url?scp=85026826820&partnerID=8YFLogxK
U2 - 10.1016/j.crma.2017.07.013
DO - 10.1016/j.crma.2017.07.013
M3 - Article
AN - SCOPUS:85026826820
VL - 355
SP - 859
EP - 865
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
SN - 1631-073X
IS - 8
ER -