Flat Marcinkiewicz Integral Operators

Authors : Ahmad Al-SALMAN

Pages : 329-338

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper, we study Marcinkiewicz integral operators with rough kernels supported by surfaces of revolutions. We prove that our operators are bounded on Lp under certain convexity assumptions on our surfaces and under very weak conditions on the kernel.
Keywords : Marcinkiewicz Integral, rough kernel, flat curves, Fourier transform