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A short proof of commutator estimates (1709.01294v3)

Published 5 Sep 2017 in math.AP and math.CA

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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