On subordination of linear operators on the Lebesgue spaces over $\mathbb R^d$
Classical Analysis and ODEs
2014-04-23 v1
Abstract
In this note a general approach is suggested for comparison of operators. This is done by means of the Fourier transform of a measure. This approach is applied to comparison of approximation properties of various summability methods of the Fourier integrals (I) and to differential operators with constant coefficients (II).
Cite
@article{arxiv.1404.5376,
title = {On subordination of linear operators on the Lebesgue spaces over $\mathbb R^d$},
author = {Roald M. Trigub},
journal= {arXiv preprint arXiv:1404.5376},
year = {2014}
}
Comments
5 pages, the paper is in Russian with English abstract