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Sobolev met Poincaré /

There are several generalizations of the classical theory of Sobolev spaces as they are necessary for the applications to Carnot-Caratheodory spaces, subelliptic equations, quasiconformal mappings on Carnot groups and more general Loewner spaces, analysis on topological manifolds, potential theory o...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hajłasz, Piotr, 1966-
Otros Autores: Koskela, Pekka
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©2000.
Colección:Memoirs of the American Mathematical Society ; no. 688.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:There are several generalizations of the classical theory of Sobolev spaces as they are necessary for the applications to Carnot-Caratheodory spaces, subelliptic equations, quasiconformal mappings on Carnot groups and more general Loewner spaces, analysis on topological manifolds, potential theory on infinite graphs, analysis on fractals and the theory of Dirichlet forms. The aim of this paper is to present a unified approach to the theory of Sobolev spaces that covers applications to many of those areas. The variety of different areas of applications forces a very general setting.
Notas:"May 2000, volume 145, number 688 (first of 4 numbers)."
Descripción Física:1 online resource (ix, 101 pages)
Bibliografía:Includes bibliographical references (pages 89-101).
ISBN:9781470402792
1470402793
ISSN:1947-6221 ;
0065-9266