engleski

Lp version of the First commutation lemma

First commutation lemma (i.e. compactness of commutators of multiplication and Fourier multipliers) is one of the basic tools in defining H-measures and H-distributions. However, similar results were obtained by other authors, with the goal of proving other results, like boundedness of pseudodifferential operators on Lp spaces. We review and improve the known results both in the standard L2 setting, as well as for general 1 <p <1.Furthermore, we extend the result to less regular simbols and to commutation of more general pseudodifferential operators and multiplication.

commutator ; compactness

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