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arXiv · 1910.12448

A note about the $l^p$-improving property of the average operators

José Madrid
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Abstract

In this paper we give a short proof of the $\ell^p$-improving property of the average operator along the square integers and more general quadratic polynomials. Moreover we obtain a similar result for some higher degree polynomials. We also show an elementary proof of the $\ell^p$-improving property of the average operator along primes.

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José Madrid. 2019-10-28. A note about the $l^p$-improving property of the average operators. https://arxiv.org/abs/1910.12448

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