کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4591646 1335043 2008 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mixed-norm estimates for a class of nonisotropic directional maximal operators and Hilbert transforms
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Mixed-norm estimates for a class of nonisotropic directional maximal operators and Hilbert transforms
چکیده انگلیسی

For all d⩾2 and p∈(1,max(2,(d+1)/2)], we prove sharp Lp to Lp(Lq) estimates (modulo an endpoint) for a directional maximal operator associated to curves generated by the dilation matrices exp((logt)P), where P has real entries and eigenvalues with positive real part. For the corresponding Hilbert transform we prove an analogous result for all d⩾2 and p∈(1,2]. As corollaries, we prove Lp bounds for variable kernel singular integral operators and Nikodym-type maximal operators taking averages over certain families of curved sets in Rd.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 255, Issue 12, 15 December 2008, Pages 3281-3302