Boundedness commutator between Sobolev spaces

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In this paper,we will study the boundedness properties of commutator \[ C_{f}=[ f,Δ] \] acting from $\overset{.}{H}^{1}(\mathbb{R}^{d}) $ to $\overset{.}{H}^{-1}(\mathbb{R}^{d}) .$

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Analysis of PDEs, 35-xx ;31Bxx

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http://salesiana.dossiersoluciones.com/handle/123456789/75133

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505169
 http://arxiv.org/abs/math/0505169

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arXiv