engleski

Extension of Cordes' and Tartar's results on compactness of commutators

We generalise results on compactness of commutators of multiplication and Fourier multiplier operators by H. O. Cordes (1975) and L. Tartar (1990) in several directions with respect to the smoothness of multiplication function and by replacing the Fourier multiplier operator by a more general pseudodifferential operator. Our prime motivation has been a particular case known as the First commutation lemma – the basic tool for defining H-measures and H-distributions. We review and improve the known results both in the standard L2 setting, as well as for general Lp. Furthermore, we extend these results to less regular simbols. This is joint work with Nenad Antoni ́c and Darko Mitrovi ́c.

compactness ; commutator

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