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arXiv · 1404.5376

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

Roald M. Trigub
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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).

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Roald M. Trigub. 2014-04-22. On subordination of linear operators on the Lebesgue spaces over $\mathbb R^d$. https://arxiv.org/abs/1404.5376

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