On subordination of linear operators on the Lebesgue spaces over \(\mathbb R^d\)

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 con...

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Bibliographic Details
Published in:arXiv.org 2014-04
Main Author: Trigub, Roald M
Format: Article
Language:English
Subjects:
Differential equations
Fourier transforms
Linear operators
Operators (mathematics)
Online Access:Get full text
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Summary: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).
ISSN:2331-8422