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 Lp and weighted Lp 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.
A Short Proof of Commutator Estimates / D'Ancona, P.. - In: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. - ISSN 1069-5869. - 25:3(2019), pp. 1134-1146. [10.1007/s00041-018-9612-8]
A Short Proof of Commutator Estimates
D'Ancona P.
2019
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 Lp and weighted Lp 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.File allegati a questo prodotto
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