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arXiv:1404.5376 [math.CA]AbstractReferencesReviewsResources

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

Roald M. Trigub

Published 2014-04-22Version 1

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).

Comments: 5 pages, the paper is in Russian with English abstract
Categories: math.CA
Subjects: 42B10, 42B15, 42B08
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