ملخص
In this paper, we study the Lp mapping properties of a class of singular integral operators with rough kernels belonging to certain block spaces. We prove that our operators are bounded on Lp provided that their kernels satisfy a size condition much weaker than that for the classical Calderón-Zygmund singular integral operators. Moreover, we present an example showing that our size condition is optimal. As a consequence of our results, we substantially improve a previously known result on certain maximal functions.
اللغة الأصلية | English |
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الصفحات (من إلى) | 3-10 |
عدد الصفحات | 8 |
دورية | Canadian Mathematical Bulletin |
مستوى الصوت | 49 |
رقم الإصدار | 1 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - مارس 2006 |
منشور خارجيًا | نعم |
ASJC Scopus subject areas
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