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A Note on the Boundedness of the Hilbert Transform in Weighted Grand Lebesgue Spaces

  • Vakhtang Kokilashvili and Alexander Meskhi
Published/Copyright: March 10, 2010
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Georgian Mathematical Journal
From the journal Volume 16 Issue 3

Abstract

It is proved that the Hilbert transform defined on a finite interval is bounded in the grand Lebesgue space if and only if 𝑤 satisfies the Muckenhoupt condition 𝐴𝑝.

Received: 2009-07-27
Published Online: 2010-03-10
Published in Print: 2009-September

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