کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4590717 | 1334978 | 2013 | 31 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Maximal estimates for the Cesàro means of weighted orthogonal polynomial expansions on the unit sphere
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Maximal estimates for the Cesàro means of weighted orthogonal polynomial expansions on the unit sphere Maximal estimates for the Cesàro means of weighted orthogonal polynomial expansions on the unit sphere](/preview/png/4590717.png)
چکیده انگلیسی
Estimates of the maximal Cesàro means at the “critical index” are established for the orthogonal polynomial expansions (OPEs) with respect to the weight function ∏j=1d|xj|2κj on the unit sphere of RdRd. These estimates allow us to improve several known results in this area, including the almost everywhere (a.e.) convergence of the Cesàro means at the “critical index”, the sufficient conditions for the Marcinkiewitcz multiplier theorem, and a Fefferman–Stein type inequality for the Cesàro operators. In addition, several similar results for the weighted OPEs on the unit ball and on the simplex are deduced from the corresponding weighted results on the sphere.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 265, Issue 10, 15 November 2013, Pages 2357–2387
Journal: Journal of Functional Analysis - Volume 265, Issue 10, 15 November 2013, Pages 2357–2387
نویسندگان
Feng Dai, Sheng Wang, Wenrui Ye,