34 citations · 60 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…
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…
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…
Riesz type potential operators in generalized grand Morrey spaces
Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro
In this paper we introduce generalized grand Morrey spaces in the framework of quasimetric measure spaces, in the spirit of the so-called grand Lebesgue spaces. We prove a kind of…
Operators of Harmonic Analysis in Variable Exponent Lebesgue Spaces. Two-Weight Estimates
Vakhtang Kokilashvili, Alexander Meskhi And Muhammad Sarwar
In the paper two-weighted norm estimates with general weights for Hardy-type transforms, maximal functions, potentials and Calderón-Zygmund singular integrals in variable exponent…