engleski

On Compactness of Commutators of Multiplications and Fourier Multipliers

We generalise results on compactness of commutators of multiplications and Fourier multiplier operators by Cordes (J Funct Anal 18:115–131, 1975) with respect to the smoothness of multiplication function. 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 in the Lp setting, with 1 < p < ∞, illustrating these results with an application, obtaining a generalised compactness by compensation result.

commutator ; compactness ; fourier multiplier ; H-distribution

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