A Short Proof of Commutator Estimates

被引：15

作者：

D'Ancona, Piero ^{[1
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Matemat, Piazzale A Moro 2, I-00185 Rome, Italy

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2019年 / 25卷 / 03期

关键词：

Commutator estimates; Kato-Ponce estimates; Littlewwod square function; Muckenhoupt weights;

D O I：

10.1007/s00041-018-9612-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this note is to give, at least for a restricted range of indices, a short proof of homogeneous commutator estimates for fractional derivatives of a product, using classical tools. Both L-p and weighted L-p estimates can be proved by the same argument. When the space dimension is 1, we obtain some new estimates in the unexplored range 1/3 < r <= 1/2.

引用

页码：1134 / 1146

页数：13

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