Journals / Turkish Journal of Mathematics / 2002 / Cilt: 26 - Sayı: 3

Flat Marcinkiewicz Integral Operators

Pages
329–338
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 Lp under certain convexity assumptions on our surfaces and under very weak conditions on the kernel.

Özet

In this paper, we study Marcinkiewicz integral operators with rough kernels supported by surfaces of revolutions. We prove that our operators are bounded on Lp under certain convexity assumptions on our surfaces and under very weak conditions on the kernel.

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