Weighted inequalities for Bochner-Riesz means in the plane
Copyright policy )Weighted inequalities for Bochner-Riesz means in the plane
The authors establish weighted inequalities for the Bochner-Riesz means and the corresponding maximal operator in the plane. These capture the known \(L^q\) results for these operators simultaneously for all values of \(q>2\). The sharp \(L^4\) estimate for the natural square function associated to the problem is also obtained. The results of the authors are interesting especially for the Bochner-Riesz means of small index.
Bochner-Riesz means, weighted inequalities, Maximal functions, Littlewood-Paley theory, plane, Norms (inequalities, more than one norm, etc.) of linear operators, Multipliers for harmonic analysis in several variables, maximal operator
Bochner-Riesz means, weighted inequalities, Maximal functions, Littlewood-Paley theory, plane, Norms (inequalities, more than one norm, etc.) of linear operators, Multipliers for harmonic analysis in several variables, maximal operator
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).20 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!