The Poincaré Inequality Does Not Improve with Blow-Up
Keyword(s):
Blow Up
◽
AbstractFor 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.
2012 ◽
Vol 273
(3-4)
◽
pp. 613-632
◽
2012 ◽
Vol 61
(1)
◽
pp. 63-85
◽
Keyword(s):
2005 ◽
Vol 71
(2)
◽
pp. 193-204
◽
2017 ◽
Vol 272
(8)
◽
pp. 3311-3346
◽