3 papers
math.AP2026
Double phase meets Muckenhoupt
Daviti Adamadze, Lars Diening, Tengiz Kopaliani +1
In this paper we generalize the famous result of [FKS] to the double phase model. In particular, we work with minimal assumptions on the modulating coefficient by introducing a Muc…
math.FA2025
Maximal operator on variable exponent spaces
Daviti Adamadze, Lars Diening, Tengiz Kopaliani
We explore the boundedness of the Hardy-Littlewood maximal operator on variable exponent spaces. Our findings demonstrate that the Muckenhoupt condition, in conjunction with Ne…
math.FA2020
On singular extensions of continuous functionals from C([0,1]) to variable Lebesgue spaces
Daviti Adamadze, Tengiz Kopaliani
Valadier and Hensgen proved independently that the restriction of functional on the space of continuous functions ad…