On the radial maximal function of distributions
Copyright policy ) Uchiyama, Akihito;
On the radial maximal function of distributions
We show that if the radial maximal function of a distribution \(f\in {\mathcal D}(R^ n)'\) belongs to \(L^ p(R^ n)\), then f belongs to \(H^ p(R^ n)\). This gives an affirmative answer to the question posed by Aleksandov and Havin.
radial maximal function of a distribution, Maximal functions, Littlewood-Paley theory, Topological linear spaces of test functions, distributions and ultradistributions, 42B25, 46F10
radial maximal function of a distribution, Maximal functions, Littlewood-Paley theory, Topological linear spaces of test functions, distributions and ultradistributions, 42B25, 46F10
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citations
Citations provided by BIP!
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).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 8
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