Mixed Fractional Differentiation Operators in Hölder Spaces Defined by Usual Hölder Condition

Abstract

We study mixed fractional derivative in Marchaud form of function of two variables in Hölder spaces of different orders in each variables. The main interest being in the evaluation of the latter for the mixed fractional derivative in the cases Hölder class defined by usual Hölder condition

Mapping Properties of Mixed Fractional Differentiation Operators in Hölder Spaces Defined by Usual Hölder Condition

“…In the multidimensional case, the statement about the properties of a map in Hölder spaces for a mixed fractional Riemann -Liouville integral was studied in [2][3][4][5][6][7].…”

Mixed Fractional Differentiation Operators in Hölder Spaces Defined by Usual Hölder Condition

“…In the multidimensional case, the statement about the properties of a map in Hölder spaces for a mixed fractional Riemann -Liouville integral was studied in [2] - [7].…”