A characterization of structural nikol'skiî- besov spaces using fractional derivatives

Atribución-NoComercial 4.0 InternacionalEnríquez, FranciscoMontes, AlexPérez, Jhon2019-07-032019-07-032010https://repositorio.unal.edu.co/handle/unal/73780The Nikol'skiî-Besov spaces Bapq(Rn), 1 0, are defined in terms of modulus of continuity and they are characterized using the partial derivatives of the Poisson integrals. In this work we show a characterizationof the functions of Bapq(Rn) using the Caputo noninteger orderderivative of the Poisson integral.application/pdfspaDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/A characterization of structural nikol'skiî- besov spaces using fractional derivativesArtículo de revistahttp://bdigital.unal.edu.co/38257/info:eu-repo/semantics/openAccessfractional derivativesPoisson KernelPisson integral