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arXiv · 1709.01294

A short proof of commutator estimates

Piero D'Ancona
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Abstract

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 $1/3<r\le1/2$.

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Piero D'Ancona. 2017-09-05. A short proof of commutator estimates. https://arxiv.org/abs/1709.01294

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