Turkish Journal of Mathematics
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.
DOI
-
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
