Singular integrals associated to homogeneous mappings with rough kernels

H. Al-Qassem; A. Al-Salman; Y. Pan

doi:10.14492/hokmj/1285851910

Singular integrals associated to homogeneous mappings with rough kernels

H. Al-Qassem^*, A. Al-Salman, Y. Pan

^*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

15 اقتباسات (Scopus)

ملخص

In this paper, we study the L^p mapping properties of singular integral operators related to homogeneous mappings with kernels belonging to certain block spaces. An example is presented to show that our condition on the kernel is nearly optimal.

اللغة الأصلية	English
الصفحات (من إلى)	551-569
عدد الصفحات	19
دورية	Hokkaido Mathematical Journal
مستوى الصوت	33
رقم الإصدار	3
المعرِّفات الرقمية للأشياء	https://doi.org/10.14492/hokmj/1285851910
حالة النشر	Published - 2004
منشور خارجيًا	نعم

ASJC Scopus subject areas

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10.14492/hokmj/1285851910

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قم بذكر هذا

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title = "Singular integrals associated to homogeneous mappings with rough kernels",

abstract = "In this paper, we study the Lp mapping properties of singular integral operators related to homogeneous mappings with kernels belonging to certain block spaces. An example is presented to show that our condition on the kernel is nearly optimal.",

keywords = "Block spaces, Fourier transform, L boundedness, Oscillatory integrals, Rough kernels, Singular integrals",

author = "H. Al-Qassem and A. Al-Salman and Y. Pan",

year = "2004",

doi = "10.14492/hokmj/1285851910",

language = "English",

volume = "33",

pages = "551--569",

journal = "Hokkaido Mathematical Journal",

issn = "0385-4035",

publisher = "Department of Mathematics, Hokkaido University",

number = "3",

}

TY - JOUR

T1 - Singular integrals associated to homogeneous mappings with rough kernels

AU - Al-Qassem, H.

AU - Al-Salman, A.

AU - Pan, Y.

PY - 2004

Y1 - 2004

N2 - In this paper, we study the Lp mapping properties of singular integral operators related to homogeneous mappings with kernels belonging to certain block spaces. An example is presented to show that our condition on the kernel is nearly optimal.

AB - In this paper, we study the Lp mapping properties of singular integral operators related to homogeneous mappings with kernels belonging to certain block spaces. An example is presented to show that our condition on the kernel is nearly optimal.

KW - Block spaces

KW - Fourier transform

KW - L boundedness

KW - Oscillatory integrals

KW - Rough kernels

KW - Singular integrals

UR - http://www.scopus.com/inward/record.url?scp=20744453457&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=20744453457&partnerID=8YFLogxK

U2 - 10.14492/hokmj/1285851910

DO - 10.14492/hokmj/1285851910

M3 - Article

AN - SCOPUS:20744453457

SN - 0385-4035

VL - 33

SP - 551

EP - 569

JO - Hokkaido Mathematical Journal

JF - Hokkaido Mathematical Journal

IS - 3

ER -

Singular integrals associated to homogeneous mappings with rough kernels

ملخص

ASJC Scopus subject areas

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