Intersection d'espaces de Dirichlet à poids harmonique

Translated title of the contribution: Intersection of harmonically weighted Dirichlet spaces

Guanlong Bao, Nihat Gökhan Göğüş, Stamatis Pouliasis

Research output: Contribution to journalArticlepeer-review

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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.

Translated title of the contributionIntersection of harmonically weighted Dirichlet spaces
Original languageFrench
Pages (from-to)859-865
Number of pages7
JournalComptes Rendus Mathematique
Issue number8
StatePublished - Aug 2017


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