The Poincaré Inequality Does Not Improve with Blow-Up
Analysis and Geometry in Metric Spaces (2016)
- Volume: 4, Issue: 1, page 363-398
- ISSN: 2299-3274
Access Full Article
top
Abstract
topHow to cite
topAndrea Schioppa. "The Poincaré Inequality Does Not Improve with Blow-Up." Analysis and Geometry in Metric Spaces 4.1 (2016): 363-398. <http://eudml.org/doc/288016>.
@article{AndreaSchioppa2016,
abstract = {For each β > 1 we construct a family Fβ of metric measure spaces which is closed under the operation of taking weak-tangents (i.e. blow-ups), and such that each element of Fβ admits a (1, P)-Poincaré inequality if and only if P > β.},
author = {Andrea Schioppa},
journal = {Analysis and Geometry in Metric Spaces},
keywords = {Poincaré inequality; modulus},
language = {eng},
number = {1},
pages = {363-398},
title = {The Poincaré Inequality Does Not Improve with Blow-Up},
url = {http://eudml.org/doc/288016},
volume = {4},
year = {2016},
}
TY - JOUR
AU - Andrea Schioppa
TI - The Poincaré Inequality Does Not Improve with Blow-Up
JO - Analysis and Geometry in Metric Spaces
PY - 2016
VL - 4
IS - 1
SP - 363
EP - 398
AB - For each β > 1 we construct a family Fβ of metric measure spaces which is closed under the operation of taking weak-tangents (i.e. blow-ups), and such that each element of Fβ admits a (1, P)-Poincaré inequality if and only if P > β.
LA - eng
KW - Poincaré inequality; modulus
UR - http://eudml.org/doc/288016
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.