Flat Marcinkiewicz Integral Operators

Authors

HUSSAIN AL-QASSEM
AHMAD AL-SALMAN

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 L^p under certain convexity assumptions on our surfaces and under very weak conditions on the kernel.

DOI

-

Keywords

Marcinkiewicz Integral, rough kernel, flat curves, Fourier transform.

First Page

329

Last Page

338

Recommended Citation

AL-QASSEM, H, & AL-SALMAN, A (2002). Flat Marcinkiewicz Integral Operators. Turkish Journal of Mathematics 26 (3): 329-338. https://doi.org/-