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The finite Hilbert transform and weighted Sobolev spaces

✍ Scribed by David Elliott; Susumu Okada

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
182 KB
Volume
266
Category
Article
ISSN
0025-584X

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✦ Synopsis

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. (Β© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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