ملخص
In this paper, we study the Lp boundedness of certain maximal operators on product domains with rough kernels in L(log L). We prove that our operators are bounded on Lp for all 2 ≤ p < ∞. Moreover, we show that our condition on the kernel is optimal in the sense that the space L(log L) cannot be replaced by L(log)r for any r < 1. Our results resolve a problem left open in [Y. Ding, A note on a class of rough maximal operators on product domains, J. Math. Anal. Appl. 232 (1999) 222-228].
اللغة الأصلية | English |
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الصفحات (من إلى) | 338-351 |
عدد الصفحات | 14 |
دورية | Journal of Mathematical Analysis and Applications |
مستوى الصوت | 311 |
رقم الإصدار | 1 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - نوفمبر 1 2005 |
منشور خارجيًا | نعم |
ASJC Scopus subject areas
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