Daviti Adamadze

collaborators

4 papers

math.AG2026

On the symplectic forms of Groechenig's Higgs moduli over an elliptic curve

Zelin Jia

Gorsky, Nekrasov, and Rubtsov introduced the moduli space of marked Higgs bundles over an elliptic curve $E$ and identified it with the Hilbert scheme of points on the cotangent bu…

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…