The Poincaré Inequality Does Not Improve with Blow-Up
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Author / Producer
Date
2016-12-30
Publication Type
Journal Article
ETH Bibliography
yes
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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.
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Publication status
published
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Book title
Journal / series
Volume
4 (1)
Pages / Article No.
363 - 398
Publisher
De Gruyter
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Poincaré inequality; Modulus
Organisational unit
03500 - Lang, Urs / Lang, Urs