Can I read Vilenkin-Fourier series in variable Lebesgue spaces on EtoBox?

Vilenkin-Fourier series in variable Lebesgue spaces by Adamadze, Daviti; Kopaliani, Tengiz is a scholarly article available to read on EtoBox.

What is Vilenkin-Fourier series in variable Lebesgue spaces about?

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 $p(\cdot)$ for which the convergence of $S_{n}f$ to $f$ in $L^{p(\cdot)}(G)$ holds whenever $f \in L^{p(\cdot)}(G)$.

Author

Adamadze, Daviti; Kopaliani, Tengiz

Published

2022

Language

EN