Turkish Journal of Mathematics
DOI
-
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 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.
Keywords
Marcinkiewicz integral, rough kernels, flat curves, Fourier transform, area integral, Littlewood-Paley g_{\lambda}^* functions
First Page
111
Last Page
120
Recommended Citation
AL-SALMAN, AHMAD (2005) "On Marcinkiewicz Integrals along flat surfaces," Turkish Journal of Mathematics: Vol. 29: No. 2, Article 1. Available at: https://journals.tubitak.gov.tr/math/vol29/iss2/1
