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Interpolating and dominating sequencesBlack, Ethan 13 May 2022 (has links)
In this thesis we will be working with dominating and interpolating sequences. We worked with a geometric approach and used pseudohyperbolic translated to the Euclidean disc in order to show that a sequence within a certain radius of a dominating sequence is dominating as well.
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Carleson-type inequalitites in harmonically weighted Dirichlet spacesChacon Perez, Gerardo Roman 01 May 2010 (has links)
Carleson measures for Harmonically Weighted Dirichlet Spaces are characterized. It is shown a version of a maximal inequality for these spaces. Also, Interpolating Sequences and Closed-Range Composition Operators are studied in this context.
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