T. Kopaliani

collaborators

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

Vilenkin-Fourier series in variable Lebesgue spaces

Daviti Adamadze, Tengiz Kopaliani

Let $S_{n} f$ denote the $n$ th partial sum of the Vilenkin-Fourier series of a function $f \in L^{1} (G)$ . For $1 < p_{-} \leq p_{+} < \infty$ , we characterize all exponents $p(\cdot…

math.FA2025

Maximal operator on variable exponent spaces

Daviti Adamadze, Lars Diening, Tengiz Kopaliani

We explore the boundedness of the Hardy-Littlewood maximal operator $M$ on variable exponent spaces. Our findings demonstrate that the Muckenhoupt condition, in conjunction with Ne…