Projects
Reading
People
Chat
SU\G
(𝔸)
/K·U
Projects
Reading
People
Chat
Sign Up
Light
Dark
System
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope
Luigi Ambrosio
,
Maria Colombo
,
Simone Di Marino
Type:
Preprint
Publication Date:
2012-12-16
Citations:
34
View Publication
Share
Locations
arXiv (Cornell University) -
View
Similar Works
Action
Title
Year
Authors
+
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope
2012
Luigi Ambrosio
Maria Colombo
Simone Di Marino
+
PDF
Chat
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope
2019
Luigi Ambrosio
Maria Colombo
Simone Di Marino
+
Sobolev Spaces on Metric Measure Spaces
2015
Juha Heinonen
Pekka Koskela
Nageswari Shanmugalingam
Jeremy T. Tyson
+
Sobolev Spaces on Metric Measure Spaces: An Approach Based on Upper Gradients
2015
Juha Heinonen
Pekka Koskela
Nageswari Shanmugalingam
Jeremy T. Tyson
+
Sobolev Spaces in Extended Metric-Measure Spaces
2021
Giuseppe Savaré
+
Sobolev spaces in extended metric-measure spaces
2019
Giuseppe Savaré
+
Sobolev spaces in extended metric-measure spaces
2019
Giuseppe Savaré
+
Orlicz Sobolev Inequalities and the Doubling Condition
2019
Lyudmila Korobenko
+
Orlicz Sobolev Inequalities and the Doubling Condition
2019
Lyudmila Korobenko
+
PDF
Chat
Orlicz-Sobolev inequalities and the doubling condition
2021
Lyudmila Korobenko
+
PDF
Chat
Sobolev spaces via chains in metric measure spaces
2024
Emanuele Caputo
Nicola Cavallucci
+
PDF
Chat
Metric Sobolev spaces I: equivalence of definitions
2024
Luigi Ambrosio
Toni Ikonen
Danka Lučić
Enrico Pasqualetto
+
PDF
Chat
Nonlinear Error Bounds via a Change of Function
2016
D. Azé
Jean-Noël Corvellec
+
A remark on $\gamma $-Lipschitzian mappings
1982
M. Gabriella Kuhn
+
Metric Sobolev spaces
2003
Pekka Koskela
+
Uniform convexity, reflexivity, supereflexivity and $B$ convexity of generalized Sobolev spaces $W^{1,Φ}$
2021
Anna Kamińska
Mariusz Żyluk
+
PDF
Chat
Modified Logarithmic Sobolev Inequalities on $\mathbb{R}$
2008
Franck Barthe
Cyril Roberto
+
PDF
Chat
Modified logarithmic Sobolev inequalities in null curvature
2007
Ivan Gentil
Arnaud Guillin
Laurent Miclo
+
A note on lower semicontinuous smooth norms
2018
Antonio José Guirao
Aleksei Lissitsin
V. Montesinos
+
Sobolev Spaces
2017
Valery Serov
Works That Cite This (35)
Action
Title
Year
Authors
+
PDF
Chat
BV functions and sets of finite perimeter in sub-Riemannian manifolds
2014
Luigi Ambrosio
Roberta Ghezzi
Valentino Magnani
+
PDF
Chat
Discrete approximations of metric measure spaces of controlled geometry
2015
James T. Gill
Marcos López
+
PDF
Chat
Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces
2019
Luigi Ambrosio
Andrea Mondino
Giuseppe Savaré
+
PDF
Chat
The Lip-lip equality is stable under blow-up
2016
Andrea Schioppa
+
On the notion of parallel transport on $\sf RCD$ spaces
2018
Nicola Gigli
Enrico Pasqualetto
+
Regularization of Newtonian functions via weak boundedness of maximal operators
2014
Lukáš Malý
+
On the asymptotic behaviour of the fractional Sobolev seminorms: A geometric approach
2024
Bang-Xian Han
+
PDF
Chat
The continuity equation on metric measure spaces
2014
Nicola Gigli
Bang-Xian Han
+
PDF
Chat
Characterizations of monotonicity of vector fields on metric measure spaces
2018
Bang-Xian Han
+
PDF
Chat
Fine properties of Newtonian functions and the Sobolev capacity on metric measure spaces
2016
Lukáš Malý
Works Cited by This (12)
Action
Title
Year
Authors
+
PDF
Chat
A T(b) theorem with remarks on analytic capacity and the Cauchy integral
1990
Michael Christ
+
Hamilton Jacobi equations on metric spaces and transport-entropy inequalities
2012
Nathaël Gozlan
Cyril Roberto
Paul-Marie Samson
+
PDF
Chat
Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
2000
Nageswari Shanmugalingam
+
Differentiability of Lipschitz Functions on Metric Measure Spaces
1999
Jeff Cheeger
+
Duality on gradient estimates and Wasserstein controls
2010
Kazumasa Kuwada
+
PDF
Chat
Extremal length and functional completion
1957
Bent Fuglede
+
PDF
Chat
Quasiconformal maps in metric spaces with controlled geometry
1998
Juha Heinonen
Pekka Koskela
+
PDF
Chat
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces
2013
Luigi Ambrosio
Nicola Gigli
Giuseppe Savaré
+
Characterization of absolutely continuous curves in Wasserstein spaces
2006
Stefano Lisini
+
Quasiconformal mappings and Sobolev spaces
1998
Pekka Koskela
Paul MacManus