Hardy-Littlewood-Type Theorem for Mixed Fractional Integrals in Hölder Spaces

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Published: Feb 27, 2024
DOI: https://doi.org/10.54105/ijam.B1105.101221
Keywords:
functions of two variables, fractional derivative of Marchaud form, mixed fractional derivative, weight, mixed fractional integral, Hölder space

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Tulkin Mamatov
Department of Higher mathematics, Bukhara Technological Institute of Engineering, Bukhara, Uzbekistan.
Nemat Mustafoev
Department of Higher mathematics, Bukhara Technological Institute of Engineering, Bukhara, Uzbekistan.
Dilshod Barakaev
Department of Higher mathematics, Bukhara Technological Institute of Engineering, Bukhara, Uzbekistan.
Rano Sabirova
Department of Higher mathematics, Bukhara Technological Institute of Engineering, Bukhara, Uzbekistan.

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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How to Cite
[1]
Tulkin Mamatov, Nemat Mustafoev, Dilshod Barakaev, and Rano Sabirova , Trans., “Hardy-Littlewood-Type Theorem for Mixed Fractional Integrals in Hölder Spaces”, IJAM, vol. 1, no. 2, pp. 15–19, Feb. 2024, doi: 10.54105/ijam.B1105.101221.
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Vol. 1 No. 2 (2021): Volume-1 Issue-2, October 2021
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How to Cite

[1]
Tulkin Mamatov, Nemat Mustafoev, Dilshod Barakaev, and Rano Sabirova , Trans., “Hardy-Littlewood-Type Theorem for Mixed Fractional Integrals in Hölder Spaces”, IJAM, vol. 1, no. 2, pp. 15–19, Feb. 2024, doi: 10.54105/ijam.B1105.101221.
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