Besov regularity in non-linear generalized functions

Abstract

We introduce and study new modules and spaces of generalized functions that are related to the classical Besov spaces. Various Schwartz distribution spaces are naturally embedded into our new generalized function spaces. We obtain precise criteria for detecting Besov regularity of distributions.

14 pages

References in corpus (3)

• Optimal embeddings of ultradistributions into differential algebras
• Tauberian class estimates for vector-valued distributions
• A non-linear theory of infrahyperfunctions