Semi-Fredholm theory for Wiener-Hopf-Hankel operators on Muckenhoupt weighted Lebesgue spaces (Q2882836)
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scientific article; zbMATH DE number 6031549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semi-Fredholm theory for Wiener-Hopf-Hankel operators on Muckenhoupt weighted Lebesgue spaces |
scientific article; zbMATH DE number 6031549 |
Statements
8 May 2012
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Wiener-Hopf operator
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Hankel operator
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semi-almost periodic function
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0.9200305
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0.91198146
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0.9050151
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0.90161526
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0.8996736
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0.8993038
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Semi-Fredholm theory for Wiener-Hopf-Hankel operators on Muckenhoupt weighted Lebesgue spaces (English)
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Results on the invertibility and Fredholm properties of Wiener-Hopf operators plus and minus Hankel operators with piecewise continuous Fourier symbols are well developed. From the authors abstract: ``We obtain conditions for describing semi-Fredholm properties of Wiener-Hopf plus and minus Hankel operators with semi-almost periodic symbols on weighted Lebesgue spaces \(L^p(\mathbb{R}_+, w)\), where \(w\) belongs to a subclass of Muckenhoupt weights (and \(1 < p < \infty\)). These conditions are based on the mean values of the representatives at infinity of the Fourier symbols of the Wiener-Hopf and Hankel operators. At the end, three concrete examples to illustrate the theory are given.''
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