The Australian Journal of Mathematical Analysis and Applications


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ISSN 1449-5910  

 

Paper Information

Paper Title:

Boundedness of the Hilbert Transform: An elementary Approach

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Abstract:

This article provides a straightforward demonstration of the boundedness of the Hilbert transform on Lp(R) spaces for 1< p < . By leveraging Hölder's inequality alone, our method eschews advance technique from harmony analysis, yielding a more accessible streamlined approach to a fundamental result in operator theory.

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