Micro-local analysis with Fourier Lebesgue spaces. I
The authors introduce wave-front sets of appropriate Banach (and Fréchet) spaces of tempered distributions, with special interest in the case in which these Banach spaces are weighted Fourier-Lebesgue type spaces. They show that their family of wave-front sets contains the classically known ones, and furthermore establish mapping properties on such wave-front sets for a quite general class of pseudodifferential operators. They show that the approach presented in this paper leads to a flexible microlocal tool which fits well in most commonly known approaches.
scientific article; zbMATH DE number 5956245
scientific article