Weighted Lp estimates for powers of selfadjoint operators

被引：27
|
作者：
Cacciafesta, Federico [1 ]
D'Ancona, Piero [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
来源：
ADVANCES IN MATHEMATICS | 2012年 / 229卷 / 01期
关键词：
Singular integrals; Weighted spaces; Schrodinger operator; Schrodinger equation; Strichartz estimates; Smoothing estimates; NORM INEQUALITIES; RIESZ TRANSFORM; SCHRODINGER-OPERATORS; SPECTRAL MULTIPLIERS; MAXIMAL INEQUALITIES; ELLIPTIC-OPERATORS; SPACES; BOUNDS;
D O I：
10.1016/j.aim.2011.09.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove L-p and weighted L-p estimates for bounded functions of a selfadjoint operator satisfying a pointwise Gaussian estimate for its heat kernel. As an application, we obtain weighted estimates for fractional powers of an electromagnetic Schrodinger operator with singular coefficients. The proofs are based on a modification of techniques due to Hebisch (1990) [17] and Auscher and Martell (2006) [4]. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：501 / 530
页数：30
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