Open AccessHardy-Littlewood-Type Theorem for Mixed Fractional Integrals in Hölder Spaces
Author(s) -
Tulkin Mamatov,
Nemat Mustafoev,
Dilshod Barakaev,
Rano Sabirova
Publication year - 2021
Publication title -
indian journal of advanced mathematics
Language(s) - English
Resource type - Journals
ISSN - 2582-8932
DOI - 10.35940/ijam.b1105.101221
Subject(s) - mathematics , pure mathematics , type (biology) , fractional calculus , hölder condition , hardy space , function (biology) , mathematical analysis , ecology , evolutionary biology , biology
We study mixed Riemann-Liouville fractionalintegration operators and mixed fractional derivative inMarchaud form of function of two variables in Hölder spaces ofdifferent orders in each variables. The obtained are resultsgeneralized to the case of Hölder spaces with power weight.