Composition operators on weighted Hilbert spaces of Dirichlet series
نویسندگان
چکیده
We study composition operators of characteristic zero on weighted Hilbert spaces Dirichlet series. For this purpose, we demonstrate the existence mean counting functions associated with series symbol, and provide a corresponding change variables formula for operator. This leads to natural necessary conditions boundedness compactness. Bergman-type spaces, are able show that compactness condition is also sufficient, by employing Schwarz-type lemma
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15 صفحه اولHilbert Spaces of Dirichlet Series
We consider various Hilbert spaces of Dirichlet series whose norms are given by weighted l2 norms of the Dirichlet coefficients. We characterize the multiplier algebras for some of these spaces. 0 Introduction Let w = {wn}n=n0 be a sequence of positive numbers. In this paper we are concerned with Hilbert spaces of functions representable by Dirichlet series: H w = {
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2023
ISSN: ['1469-7750', '0024-6107']
DOI: https://doi.org/10.1112/jlms.12771