Multiplier Theorem for Fourier Series in continuous-discrete Sobolev orthogonal polynomials
Classical Analysis and ODEs
2020-12-02 v1
Abstract
In the paper we study the multipliers of Fourier series in polynomials orthogonal in continuous-discrete Sobolev's spaces. Multiplier Theorem for Fourier-Sobolev series is obtained. This result is based on the representation of the Fej\'er kernel, on the construction of the "humpbacked majorant" and weighted estimates of maximal functions.
Keywords
Cite
@article{arxiv.2012.00550,
title = {Multiplier Theorem for Fourier Series in continuous-discrete Sobolev orthogonal polynomials},
author = {B. P. Osilenker},
journal= {arXiv preprint arXiv:2012.00550},
year = {2020}
}