Hardy-Littlewood-Type Theorem for Mixed Fractional Integrals in Hölder Spaces
Tulkin MamatovBukhara State Medical Institute named after Abu Ali ibn SinoNemat MustafoevDepartment of Higher mathematics, Bukhara Technological Institute of Engineering, Bukhara, UzbekistanDilshod BarakaevBukhara State Medical Institute named after Abu Ali ibn SinoRano SabirovaDepartment of Higher mathematics, Bukhara Technological Institute of Engineering, Bukhara, Uzbekistan
ABI
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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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