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
AN - SCOPUS:85044184425
SN - 0025-2611
VL - 158
SP - 119
EP - 147
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
IS - 1-2
ER -