Hardy-Littlewood-Type Theorem for Mixed Fractional Integrals in Hölder Spaces
Tulkin MamatovNemat MustafoevDepartment of Higher mathematics, Bukhara Technological Institute of Engineering, Bukhara, UzbekistanDilshod BarakaevRano Sabirova
ABI
Abstract
We study mixed Riemann-Liouville fractional integration operators and mixed fractional derivative in Marchaud form of function of two variables in Hölder spaces of different orders in each variables. The obtained are results generalized to the case of Hölder spaces with power weight. Keywords: functions of two variables, fractional derivative of Marchaud form, mixed fractional derivative, weight, mixed fractional integral, Hölder space.
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