The discrete spherical maximal function: A new proof of ℓ²-boundedness
Copyright policy )The discrete spherical maximal function: A new proof of ℓ²-boundedness
We provide a new direct proof of the ℓ 2 \ell ^2 -boundedness of the Discrete Spherical Maximal Function that neither relies on abstract transference theorems (and hence Stein’s Spherical Maximal Function Theorem) nor on delicate asymptotics for the Fourier transform of discrete spheres.
QA Mathematics / matematika, Mathematics - Number Theory, Maximal functions, Littlewood-Paley theory, spherical maximal function, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, discrete Hardy-Littlewood maximal operator, Number Theory (math.NT)
QA Mathematics / matematika, Mathematics - Number Theory, Maximal functions, Littlewood-Paley theory, spherical maximal function, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, discrete Hardy-Littlewood maximal operator, Number Theory (math.NT)
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).0 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).Average 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!