Improved bounds for Stein's square functions

By Sanghyuk Lee, Keith McKenzie Rogers, Andreas Seeger. 2010

47 citations recorded by the source corpus.

We prove a weighted norm inequality for the maximal Bochner–Riesz operator and the associated square‐function. This yields new Lp(ℝd) bounds on classes of radial Fourier multipliers, for p⩾2+4/d with d⩾2, as well as space–time regularity results for the wave and Schrödinger equations.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3a9c12f6afe670bb472fa1f50aad41d293221a6a

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In Applied Mathematics

1. Eunhee Jeong
2. Sanghyuk Lee
3. Keith McKenzie Rogers
4. Larry Guth
5. Andreas Seeger
6. Gustavo Garrigós

In Mathematical Physics

1. Sanghyuk Lee
2. Eunhee Jeong
3. Keith McKenzie Rogers
4. Larry Guth

Citations in the corpus

• Maximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators (2019, background): “The most recent result for the estimate (1.7) can be found in Lee-Rogers-Seeger [33] and Lee [32] (see Theorem 5.3 below).”