کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418363 | 1339326 | 2014 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Weak version of restriction estimates for spheres and paraboloids in finite fields
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Weak version of restriction estimates for spheres and paraboloids in finite fields Weak version of restriction estimates for spheres and paraboloids in finite fields](/preview/png/6418363.png)
چکیده انگلیسی
We study LpâLr restriction estimates for algebraic varieties in d-dimensional vector spaces over finite fields. Unlike the Euclidean case, if the dimension d is even, then it is conjectured that the L(2d+2)/(d+3)âL2 Stein-Tomas restriction result can be improved to the L(2d+4)/(d+4)âL2 estimate for both spheres and paraboloids in finite fields. In this paper we show that the conjectured LpâL2 restriction estimate holds in the specific case when test functions under consideration are restricted to d-coordinate functions or homogeneous functions of degree zero. To deduce our result, we use the connection between the restriction phenomena for our varieties in d dimensions and those for homogeneous varieties in (d+1) dimensions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 419, Issue 2, 15 November 2014, Pages 783-795
Journal: Journal of Mathematical Analysis and Applications - Volume 419, Issue 2, 15 November 2014, Pages 783-795
نویسندگان
Hunseok Kang, Doowon Koh,