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The finite Hilbert transform and weighted Sobolov spaces

Citation

Elliott, D and Okada, S, The finite Hilbert transform and weighted Sobolov spaces, Mathematische Nachrichten, 266, (1) pp. 34-47. ISSN 0025-584X (2004) [Refereed Article]


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The definitive published version is available online at: http://interscience.wiley.com

DOI: doi:10.1002/mana.200310142

Abstract

The boundedness of the finite Hilbert transform operator on certain weighted Lp spaces is well known. We extend this result to give the boundedness of that operator on certain weighted Sobolev spaces.

Item Details

Item Type:Refereed Article
Keywords:Finite Hilbert transform • weighted Sobolev spaces
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Operator Algebras and Functional Analysis
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Elliott, D (Professor David Elliott)
ID Code:30945
Year Published:2004
Web of Science® Times Cited:4
Deposited By:Mathematics
Deposited On:2004-08-01
Last Modified:2010-04-29
Downloads:1 View Download Statistics

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