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    Université de Fribourg

    Boundedness of singular integrals on C1,α intrinsic graphs in the Heisenberg group

    Chousionis, Vasileios ; Fässler, Katrin ; Orponen, Tuomas

    In: Advances in Mathematics, 2019, vol. 354, p. 106745

    We study singular integral operators induced by 3-dimensional Calderón-Zygmund kernels in the Heisenberg group. We show that if such an operator is L2 bounded on vertical planes, with uniform constants, then it is also L2 bounded on all intrinsic graphs of compactly supported C1,α functions over vertical planes. In particular, the result applies to the operator R induced by the...