On the L2 boundedness of parametric Marcinkiewicz integral operator

Ahmad Al-Salman

doi:10.1016/j.jmaa.2010.09.062

On the L² boundedness of parametric Marcinkiewicz integral operator

Ahmad Al-Salman^*

^*المؤلف المقابل لهذا العمل

Mathematics

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

17 اقتباسات (Scopus)

ملخص

In this paper, we derive a multiplier formula for Hörmander's parametric Marcinkiewicz integral operator. As a consequence, we prove the optimality of the kernel size condition L(logL)^1/2(S^n-1) as well as the optimality of the Block size condition.

اللغة الأصلية	English
الصفحات (من إلى)	745-752
عدد الصفحات	8
دورية	Journal of Mathematical Analysis and Applications
مستوى الصوت	375
رقم الإصدار	2
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/j.jmaa.2010.09.062
حالة النشر	Published - مارس 15 2011

ASJC Scopus subject areas

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الوصول إلى المستند

10.1016/j.jmaa.2010.09.062

الملفات والروابط الأخرى

قم بذكر هذا

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abstract = "In this paper, we derive a multiplier formula for H{\"o}rmander's parametric Marcinkiewicz integral operator. As a consequence, we prove the optimality of the kernel size condition L(logL)1/2(Sn-1) as well as the optimality of the Block size condition.",

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AB - In this paper, we derive a multiplier formula for Hörmander's parametric Marcinkiewicz integral operator. As a consequence, we prove the optimality of the kernel size condition L(logL)1/2(Sn-1) as well as the optimality of the Block size condition.

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KW - Marcinkiewicz integrals

KW - Parametric Marcinkiewicz integrals

KW - Singular integrals

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