Singular integral operators for an unlimited contour |
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| Authors: | Mekki Terbeche Vasile Nyaga |
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| Institution: | a Department of Mathematics, Faculty of Sciences, Oran University, Es-Senia, Oran, Algeria
b Faculty of Mathematics and Computer Science, Moldova State University, str. Mateevici, 60, 2009 Chisinau, Moldova |
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| Abstract: | Let Γ be a closed or unclosed unlimited contour, a shift α(t) maps homeomorphically the contour Γ onto itself with preserving or reversing the direction on Γ and also satisfies the conditions for some natural number n?2, αn(t)≅t, and αj(t)?t for 1?j<n. In this work we study subalgebra Σ of algebra L(Lp(Γ,ρ)), which contains all operators of the form |
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| Keywords: | 45E05 |
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