Norm of the Hilbert matrix on Bergman and Hardy spaces and a theorem of Nehari type
By Milutin R. Dostanic, Miroljub Jevtic, Dragan Vukotic. 2008
67 citations recorded by the source corpus.
The Hilbert matrix induces a bounded operator on most Hardy and Bergman spaces, as was shown by Diamantopoulos and Siskakis. We generalize this for any Hankel operator on Hardy spaces by using a result of Hollenbeck and Verbitsky on the Riesz projection and also compute the exact value of the norm of the Hilbert matrix. Using a new technique, we determine the norm of the Hilbert matrix on a wide range of Bergman spaces.
Subfields: Algebra and Number Theory, Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/f2be88d091f0a168f6e84cae85706947a48c8c7b
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In Algebra and Number Theory
In Applied Mathematics
Citations in the corpus
- A generalized Hilbert matrix acting on Hardy spaces (2013, background): “Indeed, the study of the boundedness, the operator norm and the spectrum of H on Hardy and weighted Bergman spaces [1, 6, 7, 14, 22] links H up to”