Averages of Eigenfunctions Over Hypersurfaces
نویسندگان
چکیده
منابع مشابه
Maximal Averages over Flat Radial Hypersurfaces
(*) ||Af ||Lp(Rn) ≤ Cp||f ||Lp(Rn), f ∈ S(R), for p > n n−1 . Moreover, the result is sharp. See [St76], [Gr82]. If the hypersurface S is convex and the order of contact with every tangent line is finite, the optimal exponents for the inequality (∗) are known in R, (see [IoSaSe97]), and in any dimension in the range p > 2, (see [IoSa96]). More precisely, the result in the range p > 2 is the fol...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2018
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-017-3081-9