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On Marcinkiewicz Integrals Along Flat Surfaces, Ahmad Al-Salman
On Marcinkiewicz Integrals Along Flat Surfaces, Ahmad Al-Salman
Turkish Journal of Mathematics
In this paper, we study Marcinkiewicz integral operators with rough kernels supported by surfaces given by flat curves. Under convexity assumptions on our surfaces, we establish an L^p boundedness result of such operators. Moreover, we obtain the L^p boundedness of the corresponding Marcinkiewicz integral operators that are related to area integral and Littlewood-Paley g_{\lambda}^* functions.