Sharp L2 → Lq bounds on spectral projectors for low regularity metrics

被引：0
作者：
Smith, Hart F. [1 ]
机构：
[1] Univ Washington, Dept Math, Seattle, WA 98195 USA
来源：
MATHEMATICAL RESEARCH LETTERS | 2006年 / 13卷 / 5-6期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish L-2 -> L-q mapping bounds for unit-width spectral projectors associated to elliptic operators with C-s coefficients, in the case 1 <= s <= 2. Examples of Smith-Sogge [6] show that these bounds are best possible for q less than the critical index. We also show that LOO bounds hold with the same exponent as in the case of smooth coefficients.
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页码：967 / 974
页数：8
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