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Bochner-Riesz算子在加权Morrey空间上的一些估计
Some Estimates for Bochner-Riesz Operators on the Weighted Morrey Spaces
【摘要】 要本文将得到Bochner-Riesz算子TR(n-1)/2在加权Morrey空间Lp,k(w)上的一些强型和弱型估计,1≤P<∞且0<k<1.我们还将证明由BMO(Rn)函数b(x)和TRδ(δ≥(n-1)/2)所生成的交换子在加权Morrey空间Lp,k(w)上的有界性,1<p<∞且0<k<1.
【Abstract】 We will obtain some weighted strong type and weak type estimates of Bochner-Riesz operators TR(n-1)/2 on the weighted Morrey spaces Lp,K(w) for 1 < p < oo and 0 <κ< 1.We will also prove that the commutator formed by a BMO(Rn) function b(x) and TRδ(6 >(n—l)/2) is a bounded operator on the weighted Morrey spaces Lp,k(w) for 1 < p <∞and 0 <κ< 1.
【关键词】 Bochner-Riesz算子;
加权Morrey空间;
交换子;
A_p权;
【Key words】 Bochner-Riesz operators; weighted Morrey spaces; commutator; A_p weights;
【Key words】 Bochner-Riesz operators; weighted Morrey spaces; commutator; A_p weights;
【基金】 国家自然科学基金资助项目(10871003,10990012)
- 【文献出处】 数学学报 ,Acta Mathematica Sinica , 编辑部邮箱 ,2012年03期
- 【分类号】O177
- 【被引频次】29
- 【下载频次】129