29 citations · 32 across the 11 of their papers we have counts for
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Integral Operators in Grand Morrey Spaces
Alexander Meskhi
We introduce grand Morrey spaces and establish the boundedness of Hardy--Littlewood maximal, Calderón--Zygmund and potential operators in these spaces. In our case the operators an…
Criteria for the Boundedness of Potential Operators in Grand Lebesgue Spaces
Alexander Meskhi
It is shown that that the fractional integral operators with the parameter , , are not bounded between the generalized grand Lebesgue spaces and $L^{q), θ_2…
Two-Weighted Norm Inequalities for the Double Hardy Transforms and Strong Fractional Maximal Functions in Variable Exponent Lebesgue Spaces
Vakhtang Kokilashvili, Alexander Meskhi
Two-weight norm estimates for the double Hardy transforms and strong fractional maximal functions are established in variable exponent Lebesgue spaces. Derived conditions are simul…
Two-Weighted Inequalities for Hardy-Littlewood Maximal Functions and Singular Integrals in Spaces
Vakhtang Kokilashvili, Alexander Meskhi
Two-weight criteria of various type for the Hardy-Littlewood maximal operator and singular integrals in variable exponent Lebesgue spaces defined on the real line are established.