29 citations · 32 across the 11 of their papers we have counts for
12 papers
Extrapolation in Weighted Classical and Grand Lorentz Spaces. Application to the Boundedness of Integral operators
Vakhtang Kokilashvili, Alexander Meskhi
We establish weighted extrapolation theorems in classical and grand Lorentz spaces. As a consequence we have the weighted boundedness of operators of Harmonic Analysis in grand Lor…
Density, Duality and Preduality in Grand Variable Exponent Lebesgue and Morrey Spaces
Alexander Meskhi, Yoshihiro Sawano
In this note some structural properties of grand variable exponent Lebesgue/ Morrey spaces over spaces of homogeneous type are obtained. In particular, it is proved that the closur…
Two-weight Norm Estimates for Multilinear Fractional Integrals in Classical Lebesgue Spaces
Vakhtang Kokilashvili, Mieczyslaw Mastylo, Alexander Meskhi
We derive criteria governing two-weight estimates for multilinear fractional integrals and appropriate maximal functions. The two and one weight problems for multi(sub)linear stron…
A Characterization of the Two-weight Inequality for Riesz Potentials on Cones of Radially Decreasing Functions
Alexander Meskhi, Ghulam Murtaza, Muhammad Sarwar
We establish necessary and sufficient conditions on a weight pair governing the boundedness of the Riesz potential operator defined on a homogeneous group from $L…
Sharp weighted bounds for one-sided and multiple integral operators
Vakhtang Kokilashvili, Alexander Meskhi, Muhammad Asad Zaighum
In this paper we establish sharp weighted bounds (Buckley type theorems) for one{sided maximal and fractional integral operators in terms of one{sided characteristics. Approp…
Boundedness of Commutators of Singular and Potential Operators in Generalized Grand Morrey Spaces and some applications
Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro
In the setting of homogeneous spaces (X,d,μ), it is shown that the commutator of Calderón- Zygmund type operators as well as commutator of potential operator with BMO function are…