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Spectral representations for finite Hilbert transformations

✍ Scribed by W. Koppelman; J. D. Pincus

Publisher: Springer-Verlag
Year: 1959
Tongue: French
Weight: 354 KB
Volume: 71
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01181411

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## Abstract The boundedness of the finite Hilbert transform operator on certain weighted __L~p~__ spaces is well known. We extend this result to give the boundedness of that operator on certain weighted Sobolev spaces. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)