Flat Marcinkiewicz Integral Operators

Authors

HUSSAIN AL-QASSEM
AHMAD AL-SALMAN

DOI

-

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.

Keywords

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

First Page

329

Last Page

338

Recommended Citation

AL-QASSEM, HUSSAIN and AL-SALMAN, AHMAD (2002) "Flat Marcinkiewicz Integral Operators," Turkish Journal of Mathematics: Vol. 26: No. 3, Article 8. Available at: https://journals.tubitak.gov.tr/math/vol26/iss3/8