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

Flat Marcinkiewicz Integral Operators

Sayfa
329–338
DOI
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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.

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.

Anahtar kelimeler: Marcinkiewicz Integral, rough kernel, flat curves, Fourier transform.