Improved Bounds for Stein’s Square Functions
نویسندگان
چکیده
We prove a weighted norm inequality for the maximal Bochner-Riesz operator and the associated square-function. This yields new L(R) 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.
منابع مشابه
Square Functions and Maximal Operators Associated with Radial Fourier Multipliers
where (Pt)t>0 is an approximation of the identity defined by the dilates of a ‘nice’ kernel (for example (Pt) may be the Poisson or the heat semigroup). Their significance in harmonic analysis, and many important variants and generalizations have been discussed in Stein’s monographs [38], [39], [44], in the survey [45] by Stein and Wainger, and in the historical article [43]. Here we focus on L...
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