Revisiting Taibleson's theorem

Abstract

A new characterization of the weighted Taibleson's theorem for generalized Hölder spaces is given via a Hadamard-Liouville type operator (Djrbashian's generalized fractional operator).

Keywords

• generalized hölder space
• bari-stechkin class
• modulus of continuity
• generalized fractional operator
• harmonic function
• poisson integral