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Boundedness of the Hilbert transform on weighted Lorentz spaces

✍ Scribed by Elona Agora; María J. Carro; Javier Soria

Book ID
113722116
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
247 KB
Volume
395
Category
Article
ISSN
0022-247X

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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)