Name: The variation of the maximal function of a radial function
Creator: Luiro Hannes
Keywords: 42B25, 46E35, 26A45, Mathematics - Classical Analysis and ODEs, ta111, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 46E35, 0101 mathematics, 42B25, harmoninen analyysi, funktionaalianalyysi

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2018Embargo end date: 01 Jan 2017 English Publisher:International Press of BostonJournal:Arkiv för Matematik, volume 56, pages 147-161 (issn: 0004-2080, eissn: 1871-2487,

Authors: Luiro Hannes;

doi: 10.4310/arkiv.2018.v56.n1.a9 , 10.48550/arxiv.1702.00669

arXiv: http://arxiv.org/abs/1702.00669

The variation of the maximal function of a radial function

- Summary
- Subjects
- Related research
  (2)
- Metrics

Abstract

We study the problem concerning the variation of the Hardy-Littlewood maximal function in higher dimensions. As the main result, we prove that the variation of the non-centered Hardy-Littlewood maximal function of a radial function is comparable to the variation of the function itself.

Related Organizations

University of Jyväskylä
Finland

Keywords

42B25, 46E35, 26A45, Mathematics - Classical Analysis and ODEs, ta111, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 46E35, 42B25, harmoninen analyysi, funktionaalianalyysi, 26A45

2 Research products, page 1 of 1

Maximal function estimates and self-improvement results for Poincaré inequalities
2018IsAmongTopNSimilarDocuments
Maximal function estimates and self-improvement results for Poincaré inequalities
2019IsAmongTopNSimilarDocuments

Impact byBIP!

	citations 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).	39
	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.	Top 10%
	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.	Top 10%