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An embedding constant for the Hardy space of Dirichlet series

Author: Ole Fredrik Brevig
Journal: Proc. Amer. Math. Soc. 145 (2017), 1639-1641
MSC (2010): Primary 30B50; Secondary 15A63
Published electronically: October 18, 2016
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Abstract: A new and simple proof of the embedding of the Hardy-Hilbert space of Dirichlet series into a conformally invariant Hardy space of the half-plane is presented, and the optimal constant of the embedding is computed.

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Additional Information

Ole Fredrik Brevig
Affiliation: Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), NO-7491 Trondheim, Norway

Received by editor(s): March 14, 2016
Received by editor(s) in revised form: June 9, 2016
Published electronically: October 18, 2016
Additional Notes: The author was supported by Grant 227768 of the Research Council of Norway.
Communicated by: Stephan Ramon Garcia
Article copyright: © Copyright 2016 American Mathematical Society

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