Selected topics on “Analysis in metric spaces”. (English) Zbl 1084.28500

Ambrosio, Luigi; Tilli, Paolo

Appunti dei Corsi Tenuti da Docenti della Scuola. Pisa: Scuola Normale Superiore. ii, 133 p. (2000).

Summary: See the review of the final version “Analysis in metric spaces” (2004) in Zbl 1080.28001.

MSC:

28-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration
28A78	Hausdorff and packing measures
28B05	Vector-valued set functions, measures and integrals
31C15	Potentials and capacities on other spaces
49J45	Methods involving semicontinuity and convergence; relaxation
30C65	Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations
46E35	Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
53C23	Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces

Keywords:

Hausdorff measure; Lipschitz function; Sobolev space; geodesic; Gromov distance; Pythagorean integral; doubling measure

Citations:

Zbl 1080.28001