descriptionPublicationkeyboard_double_arrow_right Article , Preprint 19 Mar 2018Embargo end date: 01 Jan 2017 English Publisher:Springer Science and Business Media LLCJournal:manuscripta mathematica, volume 158, pages 119-147 (issn: 0025-2611, eissn: 1432-1785,

Authors: Juha Kinnunen; Juha Lehrbäck; Antti V. Vähäkangas; Xiao Zhong;

doi: 10.1007/s00229-018-1016-1 , 10.48550/arxiv.1705.05072

arXiv: http://arxiv.org/abs/1705.05072

Maximal function estimates and self-improvement results for Poincaré inequalities

- Summary
- Subjects
- Related research
  (5)
- External Databases
  (2)
- Metrics

Abstract

Our main result is an estimate for a sharp maximal function, which implies a Keith-Zhong type self-improvement property of Poincar�� inequalities related to differentiable structures on metric measure spaces. As an application, we give structure independent representation for Sobolev norms and universality results for Sobolev spaces.

Related Organizations

Keywords

42B25, 35A23, 46E35, 31E05, 30L99, harmoninen analyysi, Mathematics - Analysis of PDEs, inequalities, Mathematics - Classical Analysis and ODEs, harmonic analysis, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Matematiikka, funktionaalianalyysi, epäyhtälöt, Mathematics, Analysis of PDEs (math.AP)

5 Research products, page 1 of 1

A maximal Function Approach to Two-Measure Poincaré Inequalities
2018IsAmongTopNSimilarDocuments
Complex Analysis and Dynamical Systems VII
2017IsAmongTopNSimilarDocuments
Maximal function estimates and self-improvement results for Poincaré inequalities
2019IsAmongTopNSimilarDocuments
The variation of the maximal function of a radial function
2018IsAmongTopNSimilarDocuments
Pointwise Inequalities for Sobolev Functions on Outward Cuspidal Domains
2020IsAmongTopNSimilarDocuments

1and

2xk1

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).	5
	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