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

页码：501 / 530

页数：30

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