Besov regularity in non-linear generalized functions
Stevan Pilipović,
Dimitris Scarpalézos,
Jasson Vindas
Abstract:We introduce and study new modules and spaces of generalized functions that are related to the classical Besov spaces and might be useful in the analysis of non-linear problems. Various Schwartz distribution spaces are naturally embedded into our new generalized function spaces. We obtain precise criteria for detecting Besov regularity of distributions.
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