A note on Marcinkiewicz integral operators

Husseink M. Al-Qassem; A. J. Al-Salman

doi:10.1016/S0022-247X(03)00244-0

A note on Marcinkiewicz integral operators

Husseink M. Al-Qassem^*, A. J. Al-Salman

^*Corresponding author for this work

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

35 Citations (Scopus)

Abstract

This paper is primarily concerned with proving the L^p boundedness of Marcinkiewicz integral operators with kernels belonging to certain block spaces. We also show the optimality of our condition on the kernel for the L² boundedness of the Marcinkiewicz integral.

Original language	English
Pages (from-to)	698-710
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	282
Issue number	2
DOIs	https://doi.org/10.1016/S0022-247X(03)00244-0
Publication status	Published - Jun 15 2003
Externally published	Yes

Keywords

Block spaces
Fourier transform
Marcinkiewicz integrals
Oscillatory integrals
Rough kernels

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0022-247X(03)00244-0

Cite this

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title = "A note on Marcinkiewicz integral operators",

abstract = "This paper is primarily concerned with proving the Lp boundedness of Marcinkiewicz integral operators with kernels belonging to certain block spaces. We also show the optimality of our condition on the kernel for the L2 boundedness of the Marcinkiewicz integral.",

keywords = "Block spaces, Fourier transform, Marcinkiewicz integrals, Oscillatory integrals, Rough kernels",

author = "Al-Qassem, {Husseink M.} and Al-Salman, {A. J.}",

year = "2003",

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doi = "10.1016/S0022-247X(03)00244-0",

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T1 - A note on Marcinkiewicz integral operators

AU - Al-Qassem, Husseink M.

AU - Al-Salman, A. J.

PY - 2003/6/15

Y1 - 2003/6/15

N2 - This paper is primarily concerned with proving the Lp boundedness of Marcinkiewicz integral operators with kernels belonging to certain block spaces. We also show the optimality of our condition on the kernel for the L2 boundedness of the Marcinkiewicz integral.

AB - This paper is primarily concerned with proving the Lp boundedness of Marcinkiewicz integral operators with kernels belonging to certain block spaces. We also show the optimality of our condition on the kernel for the L2 boundedness of the Marcinkiewicz integral.

KW - Block spaces

KW - Fourier transform

KW - Marcinkiewicz integrals

KW - Oscillatory integrals

KW - Rough kernels

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DO - 10.1016/S0022-247X(03)00244-0

M3 - Article

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EP - 710

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

A note on Marcinkiewicz integral operators

Abstract

Keywords

ASJC Scopus subject areas

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