Access the full text.
Sign up today, get DeepDyve free for 14 days.
H. Davenport (1967)
Multiplicative Number Theory
J. Gordon, H. Hedenmalm (1999)
The composition operators on the space of Dirichlet series with square summable coefficients.Michigan Mathematical Journal, 46
Ole Brevig (2016)
An embedding constant for the Hardy space of Dirichlet seriesarXiv: Functional Analysis
(2013)
Queffélec, Diophantine approximation and Dirichlet series, Harish-Chandra
Kehe Zhu (1990)
Operator theory in function spaces
(1988)
Pólya, Inequalities, Cambridge Mathematical Library
F. Bayart, Ole Brevig (2016)
Composition operators and embedding theorems for some function spaces of Dirichlet seriesMathematische Zeitschrift
H. Hedenmalm, P. Lindqvist, K. Seip (1995)
A Hilbert space of Dirichlet series and systems of dilated functions in $L^2(0,1)$Duke Mathematical Journal, 86
H. Queffélec (2015)
Espaces de séries de Dirichlet et leurs opérateurs de composition, 22
Fr'ed'eric Bayart, Herv'e Queff'elec, K. Seip (2014)
Approximation numbers of composition operators on $H^p$ spaces of Dirichlet seriesAnnales de l'Institut Fourier, 66
W. Hayman (1949)
Inequalities in the Theory of FunctionsProceedings of The London Mathematical Society
Let H2 denote the Hardy space of Dirichlet series f(s)=∑n⩾1ann−s with square summable coefficients and suppose that φ is a symbol generating a composition operator on H2 by Cφ(f)=f∘φ. Let ζ denote the Riemann zeta function and α0=1.48… the unique positive solution of the equation αζ(1+α)=2. We obtain sharp upper bounds for the norm of Cφ on H2 when 0<Reφ(+∞)−1/2⩽α0, by relating such sharp upper bounds to the best constant in a family of discrete Hilbert‐type inequalities.
Bulletin of the London Mathematical Society – Wiley
Published: Dec 1, 2017
Keywords: ; ;
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.