کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4620525 1339465 2009 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Weighted Hardy and singular operators in Morrey spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Weighted Hardy and singular operators in Morrey spaces
چکیده انگلیسی

We study the weighted boundedness of the Cauchy singular integral operator SΓ in Morrey spaces Lp,λ(Γ) on curves satisfying the arc-chord condition, for a class of “radial type” almost monotonic weights. The non-weighted boundedness is shown to hold on an arbitrary Carleson curve. We show that the weighted boundedness is reduced to the boundedness of weighted Hardy operators in Morrey spaces Lp,λ(0,ℓ), ℓ>0. We find conditions for weighted Hardy operators to be bounded in Morrey spaces. To cover the case of curves we also extend the boundedness of the Hardy–Littlewood maximal operator in Morrey spaces, known in the Euclidean setting, to the case of Carleson curves.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 350, Issue 1, 1 February 2009, Pages 56-72