Measure Theory in Non-Smooth Spaces

Nicola Gigli

Open Access Published by De Gruyter Open Poland 2017

Measure Theory in Non-Smooth Spaces

Nicola Gigli

https://doi.org/10.1515/9783110550832

Overview
Contents

About this book

Analysis in singular spaces is becoming an increasingly important area of research, with motivation coming from the calculus of variations, PDEs, geometric analysis, metric geometry and probability theory, just to mention a few areas. In all these fields, the role of measure theory is crucial and an appropriate understanding of the interaction between the relevant measure-theoretic framework and the objects under investigation is important to a successful research.

The aim of this book, which gathers contributions from leading specialists with different backgrounds, is that of creating a collection of various aspects of measure theory occurring in recent research with the hope of increasing interactions between different fields.

List of contributors: Luigi Ambrosio, Vladimir I. Bogachev, Fabio Cavalletti, Guido De Philippis, Shouhei Honda, Tom Leinster, Christian Léonard, Andrea Marchese, Mark W. Meckes, Filip Rindler, Nageswari Shanmugalingam, Takashi Shioya, and Christina Sormani.

Author information

Nicola Gigli, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Italy.

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	V
New stability results for sequences of metric measure spaces with uniform Ricci bounds from below Luigi Ambrosio and Shouhei Honda Open Access Download PDF	1
Surface measures in infinite-dimensional spaces Vladimir I. Bogachev Open Access Download PDF	52
An Overview of L¹ optimal transportation on metric measure spaces Fabio Cavalletti Open Access Download PDF	98
On a conjecture of Cheeger Guido De Philippis, Andrea Marchese and Filip Rindler Open Access Download PDF	145
The magnitude of a metric space: from category theory to geometric measure theory Tom Leinster and Mark W. Meckes Open Access Download PDF	156
On the convexity of the entropy along entropic interpolations Christian Léonard Open Access Download PDF	194
Brief survey ∞-Poincaré inequality and existence ∞-harmonic functions Nageswari Shanmugalingam Open Access Download PDF	243
Metric measure limits of spheres and complex projective spaces Takashi Shioya Open Access Download PDF	261
Scalar Curvature and Intrinsic Flat Convergence Christina Sormani Open Access Download PDF	288

(Deutsch)

Language: English
Publisher: De Gruyter Open Poland
Audience: Researchers and graduate students in mathematics.
Pages
- Main content: 346
Illustrations
- Illustrations: 9
- Coloured Illustrations: 3

eBook

Published: August 21, 2017
ISBN: 9783110550832

Hardcover

Published: August 21, 2017
ISBN: 9783110550825

For journal authors

For book authors

For librarians

Rights & Permissions

Open Access

Publication types

Subjects we publish

Contact

Career

About De Gruyter

Partnerships

Measure Theory in Non-Smooth Spaces