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The finite Hilbert transform and weighted Sobolov spaces

journal contribution
posted on 2023-05-16, 15:21 authored by David Elliott, Okada, S
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.

History

Publication title

Mathematische Nachrichten

Volume

266

Pagination

34-47

ISSN

0025-584X

Department/School

School of Natural Sciences

Publisher

Wiley VCH Verlag GmbH & Co

Place of publication

Germany

Rights statement

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

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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    University Of Tasmania

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    Keywords

    Finite Hilbert transform • weighted Sobolev spaces

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    In Copyright

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