Abstract
The essential norm of the Hilbert transform acting in weighted Lebesgue spaces with variable exponent is estimated from below.
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On the Essential Norm for the Hilbert Transforms in 𝐿𝑝(𝑥) Spaces
1Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan. E-mail: asifmaths@yahoo.com
2A. Razmadze Mathematical Institute, 1. M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: meskhi@rmi.acnet.ge
Citation Information: Georgian Mathematical Journal. Volume 15, Issue 2, Pages 209–223, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.2008.209, March 2010
Publication History:
- Received:
- 2007-12-13
- Published Online:
- 2010-03-10
Key words and phrases:: Essential norm of integral operators; Hilbert transform; two-weight inequality; Lebesgue spaces with variable exponent
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