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

^*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

35 اقتباسات (Scopus)

ملخص

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.

اللغة الأصلية	English
الصفحات (من إلى)	698-710
عدد الصفحات	13
دورية	Journal of Mathematical Analysis and Applications
مستوى الصوت	282
رقم الإصدار	2
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/S0022-247X(03)00244-0
حالة النشر	Published - يونيو 15 2003
منشور خارجيًا	نعم

ASJC Scopus subject areas

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

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قم بذكر هذا

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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",

month = jun,

day = "15",

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

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journal = "Journal of Mathematical Analysis and Applications",

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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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U2 - 10.1016/S0022-247X(03)00244-0

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

M3 - Article

AN - SCOPUS:0038116453

SN - 0022-247X

VL - 282

SP - 698

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

ملخص

ASJC Scopus subject areas

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