Poincaré inequalities and Sobolev spaces.

Título inglés Poincaré inequalities and Sobolev spaces.
Título español Desigualdades de Poincaré y espacios de Sobolev.
Autor/es MacManus, Paul
Organización Phillips Exeter Acad., Exeter (New Hampshire), Estados Unidos
Revista 0214-1493
Publicación 2002, 46 (Extra): 181-197, 40 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés Our understanding of the interplay between Poincaré inequalities, Sobolev inequalities and the geometry of the underlying space has changed considerably in recent years. These changes have simultaneously provided new insights into the classical theory and allowed much of that theory to be extended to a wide variety of different settings. This paper reviews some of these new results and techniques and concludes with an example on the preservation of Sobolev spaces by the maximal function.

[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].
Código MathReviews MR1964820
Código Z-Math Zbl 1027.46036
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