Maximal function estimates and self-improvement results for Poincaré inequalities

Research output: Contribution to journalArticleScientificpeer-review

Standard

Maximal function estimates and self-improvement results for Poincaré inequalities. / Kinnunen, Juha; Lehrbäck, Juha; Vähäkangas, Antti V.; Zhong, Xiao.

In: Manuscripta Mathematica, Vol. 158, No. 1-2, 07.01.2019, p. 119-147.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

APA

Vancouver

Author

Kinnunen, Juha ; Lehrbäck, Juha ; Vähäkangas, Antti V. ; Zhong, Xiao. / Maximal function estimates and self-improvement results for Poincaré inequalities. In: Manuscripta Mathematica. 2019 ; Vol. 158, No. 1-2. pp. 119-147.

Bibtex - Download

@article{fe30501adf4c4d83a88e909f03830346,
title = "Maximal function estimates and self-improvement results for Poincar{\'e} inequalities",
abstract = "Our main result is an estimate for a sharp maximal function, which implies a Keith–Zhong type self-improvement property of Poincar{\'e} 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.",
author = "Juha Kinnunen and Juha Lehrb{\"a}ck and V{\"a}h{\"a}kangas, {Antti V.} and Xiao Zhong",
year = "2019",
month = "1",
day = "7",
doi = "10.1007/s00229-018-1016-1",
language = "English",
volume = "158",
pages = "119--147",
journal = "Manuscripta Mathematica",
issn = "0025-2611",
publisher = "Springer New York",
number = "1-2",

}

RIS - Download

TY - JOUR

T1 - Maximal function estimates and self-improvement results for Poincaré inequalities

AU - Kinnunen, Juha

AU - Lehrbäck, Juha

AU - Vähäkangas, Antti V.

AU - Zhong, Xiao

PY - 2019/1/7

Y1 - 2019/1/7

N2 - Our main result is an estimate for a sharp maximal function, which implies a Keith–Zhong type self-improvement property of Poincaré 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.

AB - Our main result is an estimate for a sharp maximal function, which implies a Keith–Zhong type self-improvement property of Poincaré 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.

UR - http://www.scopus.com/inward/record.url?scp=85044184425&partnerID=8YFLogxK

U2 - 10.1007/s00229-018-1016-1

DO - 10.1007/s00229-018-1016-1

M3 - Article

VL - 158

SP - 119

EP - 147

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 0025-2611

IS - 1-2

ER -

ID: 31554598