ISBN: 9781107092341 - sobolev spaces on metric measure spaces: an approach based on upper gradients (new mathematical monographs, 27, band 27) (4 Ergebnisse)

Zustand: New. In English.

Zustand: New. This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts. Series: New Mathematical Monographs. Num Pages: 448 pages, 4 b/w illus. BIC Classification: PBKF. Category: (U) Tertiary Education (US: College). Dimension: 228 x 152 x 29. Weight in Grams: 830. . 2015. Illustrated. hardcover. . . . . Books ship from the US and Ireland. …

Hardcover. Zustand: Brand New. 465 pages. 9.00x6.00x1.25 inches. In Stock.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a Sobolev function was formulated in the setting of metric measure spaces supporting a Poincaré inequality. This coherent treatment from first principles is an ideal introduction to the subject for graduate students and a useful reference for experts. It presents the foundations of the theory of such first-order Sobolev spaces, then explores geometric implications of the critical Poincaré inequality, and indicates numerous examples of spaces satisfying this axiom. A distinguishing feature of the book is its focus on vector-valued Sobolev spaces. The final chapters include proofs of several landmark theorems, including Cheeger's stability theorem for Poincaré inequalities under Gromov-Hausdorff convergence, and the Keith-Zhong self-improvement theorem for Poincaré inequalities.…