Singular Integrals along N Directions in R

نویسنده

  • CIPRIAN DEMETER
چکیده

We prove optimal bounds in L2(R2) for the maximal operator obtained by taking a singular integral along N arbitrary directions in the plane. We also give a new proof for the optimal L2 bound for the single scale Kakeya maximal function in the plane.

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تاریخ انتشار 2010