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A Singular Integral on L2(Rn)
Published online by Cambridge University Press: 20 November 2018
Abstract
We consider a convolution singular integral operator associated to a kernel K(x) = b(x)Ω(x)|x|-n, and prove that if b ∊ L∞(ℝn) is a radial function and Ω ∊ H(Σn-1) with mean zero condition (1), then is a bounded linear operator in the space L2(ℝn).
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- Copyright © Canadian Mathematical Society 1994