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, 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