A remark on estimates for uniformly elliptic operators on weighted Lp spaces and Morrey spaces

被引：0
|
作者：
Kurata, K
Sugano, S
机构：
[1] Tokyo Metropolitan Univ, Dept Math, Hachioji, Tokyo 19203, Japan
[2] Gakushuin Univ, Dept Math, Toshima Ku, Tokyo 171, Japan
来源：
MATHEMATISCHE NACHRICHTEN | 2000年 / 209卷
关键词：
uniformly elliptic operator; fundamental solution; Morrey space; reverse Holder class potential;
D O I：
10.1002/(SICI)1522-2616(200001)209:1<137::AID-MANA137>3.0.CO;2-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider uniformly elliptic operators L = - Sigma(i,j=1) (n) delta(i) (a(ij) (x)delta(j)) + V(x) with non-negative potentials V on R-n (n greater than or equal to 3) which belong to certain reverse Holder class. We show several estimates for VL-1, V(1/2)del L-1 and del(2)L(-1) on weighted L-p spaces and Morrey spaces under certain assumptions on a(ij)(x), V and p. Our results generalize some results of J. ZHONG and Z. SHEN in the case of L = -Delta + V(x) and extend to uniformly elliptic operators.
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页码：137 / 150
页数：14
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