Properties of sequence of linear functionals on $BV$ with applications
Functional Analysis
2023-08-09 v1
Abstract
This paper is devoted to investigating the sequence of some linear functionals in the space of finite variation functions. We prove that under certain conditions this sequence is bounded. We also prove that this result is sharp. In particular, the obtained results can be used to study convergence of some general Fourier series. Moreover, the obtained conditions seem to be new and useful also for classical orthonormal systems.
Cite
@article{arxiv.2308.04403,
title = {Properties of sequence of linear functionals on $BV$ with applications},
author = {L-E. Persson and V. Tsagareishvili and G. Tutberidze},
journal= {arXiv preprint arXiv:2308.04403},
year = {2023}
}