Bounds for singular fractional integrals and related Fourier integral operators, preprint
نویسندگان
چکیده
Let Ω ⊂ Ω̃ be open sets in R, I ⊂ R be an open neighborhood of the origin and let η be a compactly supported smooth function on Ω× I; we assume that η(·, 0) does not vanish identically. For each x ∈ Ω let t 7→ Γ(x, t) ⊂ Ω̃ be a regular parametrization of a submanifold Mx ⊂ Ω̃ with codimension l. We assume that Γ(x, t) ⊂ Ω if (x, t) ∈ supp η, and that Γ satisfies Γ(x, 0) = x and depends smoothly on (x, t). We shall consider the singular fractional integral operator (or weakly singular Radon transform) Rσ, defined by
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تاریخ انتشار 2000