Interplay of Wiener--Hopf and Hankel operators with almost periodic Fourier symbols on standard and variable exponent Lebesgue spaces
نویسندگان
چکیده
منابع مشابه
Invertibility of matrix Wiener-Hopf plus Hankel operators with APW Fourier symbols
Operators of Wiener-Hopf plus Hankel type have been receiving an increasing attention in the last years (see [1, 2, 4, 6, 10, 12–16]). Some of the interest in their study arises directly from concrete applications where these kind of operators appear. This is the case in problems of wave diffraction by some particular rectangular geometries which originate specific boundary-transmission value p...
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Wiener-Hopf plus Hankel operators acting between Lebesgue spaces on the real line are studied in view of their invertibility, one sided-invertibility, Fredholm property, and the so-called n and d–normal properties. This is done in two different cases: (i) when the Fourier symbols of the operators are unitary functions, and (ii) when the Fourier symbols are related with sectorial elements appear...
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A factorization theory is proposed for Wiener-Hopf plus Hankel operators with almost periodic Fourier symbols. We introduce a factorization concept for the almost periodic Fourier symbols such that the properties of the factors will allow corresponding operator factorizations. Conditions for left, right, or both-sided invertibility of the Wiener-Hopf plus Hankel operators are therefore obtained...
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ژورنال
عنوان ژورنال: Annals of Functional Analysis
سال: 2015
ISSN: 2008-8752
DOI: 10.15352/afa/06-2-5