Two-Weight Mixed Norm Estimates for a Generalized Spherical Mean Radon Transform Acting on Radial Functions
نویسندگان
چکیده
منابع مشابه
Mixed Norm Estimates for Certain Generalized Radon Transforms
In this paper we investigate the mapping properties in Lebesgue-type spaces of certain generalized Radon transforms defined by integration over curves. Let X and Y be open subsets of R, d ≥ 2, and let Z be a smooth submanifold of X×Y ⊂ R2d of dimension d+1. Assume that the projections π1 : Z → X and π2 : Z → Y are submersions at each point of Z. For each y ∈ Y , let γy = {x ∈ X : (x, y) ∈ Z} = ...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2017
ISSN: 0036-1410,1095-7154
DOI: 10.1137/17m1117756