Singular integrals in the Cesàro sense

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Springer, Birkhäuser Verlag

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The existence of the singular integral ∫K(x, y)f(y)dy associated to a Calderón-Zygmund kernel where the integral is understood in the principal value sense TF(x)=limε→0+∫|x−y|>εK(x, y)f(y)dy has been well studied. In this paper we study the existence of the above integral in the Cesàro-α sense. More precisely, we study the existence of ...

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Bernardis, A.L., Martín-Reyes, F.J. Singular integrals in the Cesàro sense. The Journal of Fourier Analysis and Applications 6, 143–152 (2000). https://doi.org/10.1007/BF02510657

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