Journals / Turkish Journal of Mathematics / 2005 / Cilt: 29 - Sayı: 2
On Marcinkiewicz Integrals along flat surfaces
- Pages
- 111–120
- 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 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.
Özet
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.