Resistance Conditions and Applications
This paper studies analytic aspects of so-called resistance conditions on metric measure spaces with a doubling measure. These conditions are weaker than the usually assumed Poincaré inequality, but however, they are sufficiently strong to imply several useful results in analysis on metric measure s...
Main Authors: | Kinnunen Juha, Silvestre Pilar |
---|---|
Format: | Article |
Language: | English |
Published: |
De Gruyter
2013-10-01
|
Series: | Analysis and Geometry in Metric Spaces |
Subjects: | |
Online Access: | https://doi.org/10.2478/agms-2013-0007 |
Similar Items
-
Resistance conditions, Poincaré inequalities, the Lip-lip condition and Hardy’s inequalities
by: Kinnunen Juha, et al.
Published: (2016-03-01) -
Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains
by: Makoto Mizuguchi, et al.
Published: (2017-11-01) -
The minimizing problem involving $p$-Laplacian and Hardy–Littlewood–Sobolev upper critical exponent
by: Yu Su, et al.
Published: (2018-08-01) -
Lebesgue points, Hölder continuity and Sobolev functions
by: Karlsson, John
Published: (2009) -
Remarks on the hardy inequality
by: Hurri–Syrjänen R, et al.
Published: (1997-01-01)