Classes of generalized functions with finite type regularities

Abstract

We introduce and analyze spaces and algebras of generalized functions which correspond to H\" older, Zygmund, and Sobolev spaces of functions. The main scope of the paper is the characterization of the regularity of distributions that are embedded into the corresponding space or algebra of generalized functions with finite type regularities.

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• New classes of weighted Hölder-Zygmund spaces and the wavelet transform
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Cited by in corpus (2)

• Besov regularity in non-linear generalized functions
• Factorization of second-order strictly hyperbolic operators with logarithmic slow scale coefficients and generalized microlocal approximations