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arXiv · 1012.2159

Improved bounds for Stein's square functions

Sanghyuk Lee·Keith M. Rogers·Andreas Seeger
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Abstract

We prove a weighted norm inequality for the maximal Bochner--Riesz operator and the associated square-function. This yields new $L^p(R^d)$ bounds on classes of radial Fourier multipliers for $p\ge 2+4/d$ with $d\ge 2$, as well as space-time regularity results for the wave and Schrödinger equations.

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Sanghyuk Lee, Keith M. Rogers, Andreas Seeger. 2011-05-15. Improved bounds for Stein's square functions. https://doi.org/10.1112/plms%2Fpdr067

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