Abstract

ENRIQUEZ, FRANCISCO  and  PEREZ, JHON. Description of the Nikolski\u\i-Besov Class Decreasing its Smoothness Parameter using Weak Fractional Derivatives. Rev.colomb.mat. [online]. 2013, vol.47, n.2, pp.149-165. ISSN 0034-7426.

The Nikolski\u\i-Besov spaces B_pq^α\big(Rⁿ\big)≡ B_pq^α, 1≤ p,\,q≤∞, α>0, recently were described using the Caputo's fractional derivative. Using the concept of weak fractional derivative, in this paper we reduces the characterization of B_pq^α to the case B_pq^γ, where γ is any positive number strictly less than α.

Keywords : Nikolski\u\i-Besov spaces; Fractional derivative; Poisson kernel; Poisson integral.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )