Singular integrals on product domains

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

doi:10.1512/iumj.2006.55.2626

Singular integrals on product domains

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

^*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

25 اقتباسات (Scopus)

ملخص

This paper is concerned with singular integral operators on product domains with rough kernels in L(logL)². We prove, among other things, L ^p bounds (1 < p < ∞) for such singular integral operators as well as for their corresponding maximal truncated singular integrals. We also establish the optimality of our condition in the sense that the space L(logL)² cannot be replaced by L(logL)^r for any r < 2. Indiana University Mathematics Journal

اللغة الأصلية	English
الصفحات (من إلى)	369-387
عدد الصفحات	19
دورية	Indiana University Mathematics Journal
مستوى الصوت	55
رقم الإصدار	1
المعرِّفات الرقمية للأشياء	https://doi.org/10.1512/iumj.2006.55.2626
حالة النشر	Published - 2006
منشور خارجيًا	نعم

ASJC Scopus subject areas

???subjectarea.asjc.2600.2600???

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10.1512/iumj.2006.55.2626

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abstract = "This paper is concerned with singular integral operators on product domains with rough kernels in L(logL)2. We prove, among other things, L p bounds (1 < p < ∞) for such singular integral operators as well as for their corresponding maximal truncated singular integrals. We also establish the optimality of our condition in the sense that the space L(logL)2 cannot be replaced by L(logL)r for any r < 2. Indiana University Mathematics Journal",

keywords = "Product domains, Rough kernels, Singular integrals",

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

year = "2006",

doi = "10.1512/iumj.2006.55.2626",

language = "English",

volume = "55",

pages = "369--387",

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T1 - Singular integrals on product domains

AU - Al-Salman, A.

AU - Al-Qassem, H.

AU - Pan, Y.

PY - 2006

Y1 - 2006

N2 - This paper is concerned with singular integral operators on product domains with rough kernels in L(logL)2. We prove, among other things, L p bounds (1 < p < ∞) for such singular integral operators as well as for their corresponding maximal truncated singular integrals. We also establish the optimality of our condition in the sense that the space L(logL)2 cannot be replaced by L(logL)r for any r < 2. Indiana University Mathematics Journal

AB - This paper is concerned with singular integral operators on product domains with rough kernels in L(logL)2. We prove, among other things, L p bounds (1 < p < ∞) for such singular integral operators as well as for their corresponding maximal truncated singular integrals. We also establish the optimality of our condition in the sense that the space L(logL)2 cannot be replaced by L(logL)r for any r < 2. Indiana University Mathematics Journal

KW - Product domains

KW - Rough kernels

KW - Singular integrals

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U2 - 10.1512/iumj.2006.55.2626

DO - 10.1512/iumj.2006.55.2626

M3 - Article

AN - SCOPUS:33645760873

SN - 0022-2518

VL - 55

SP - 369

EP - 387

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 1

ER -

Singular integrals on product domains

ملخص

ASJC Scopus subject areas

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