Hardy-Littlewood-Type Theorem for Mixed Fractional Integrals in Hölder Spaces
Tulkin MamatovDepartment of Higher mathematics, Bukhara Technological Institute of Engineering, Bukhara, UzbekistanNemat MustafoevDepartment of Higher mathematics, Bukhara Technological Institute of Engineering, Bukhara, UzbekistanDilshod BarakaevDepartment of Higher mathematics, Bukhara Technological Institute of Engineering, Bukhara, UzbekistanRano SabirovaDepartment of Higher mathematics, Bukhara Technological Institute of Engineering, Bukhara, Uzbekistan
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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.
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