Oscillatory Strongly Singular Integral Associated to the Convex Surfaces of Revolution

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Here we consider the following strongly singular integral T_(?,γ,α,β)f (x, t) =∫ _(R~n)e~[i|y|~(-β)]?(y/|y|)/|y|~(n+α)f (x - y, t - γ(|y|))dy,where ? ∈ L~p(S~(n-1)), p > 1, n > 1, α > 0 and γ is convex on(0,∞).We prove that there exists A( p, n)
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