Flat Marcinkiewicz integral operators

Ahmad Al-Salman; Hussain Al-Qassem

Flat Marcinkiewicz integral operators

Ahmad Al-Salman^*, Hussain Al-Qassem

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	329-338
Number of pages	10
Journal	Turkish Journal of Mathematics
Volume	26
Issue number	3
Publication status	Published - 2002
Externally published	Yes

Keywords

Flat curves
Fourier transform
Marcinkiewicz Integral
Rough kernel

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Flat Marcinkiewicz integral operators",

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.",

keywords = "Flat curves, Fourier transform, Marcinkiewicz Integral, Rough kernel",

author = "Ahmad Al-Salman and Hussain Al-Qassem",

year = "2002",

language = "English",

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journal = "Turkish Journal of Mathematics",

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T1 - Flat Marcinkiewicz integral operators

AU - Al-Salman, Ahmad

AU - Al-Qassem, Hussain

PY - 2002

Y1 - 2002

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AB - 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.

KW - Flat curves

KW - Fourier transform

KW - Marcinkiewicz Integral

KW - Rough kernel

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M3 - Article

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SN - 1300-0098

VL - 26

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EP - 338

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

IS - 3

ER -

Flat Marcinkiewicz integral operators

Abstract

Keywords

ASJC Scopus subject areas

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