On Marcinkiewicz Integrals along flat surfaces
Authors : Ahmad Al-salman
Pages : 111-120
View : 8 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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 Lp boundedness result of such operators. Moreover, we obtain the Lp boundedness of the corresponding Marcinkiewicz integral operators that are related to area integral and Littlewood-Paley gl* functions.Keywords : Marcinkiewicz integral, rough kernels, flat curves, Fourier transform, area integral, Littlewood-Paley gl* functions