Presentación | Participantes | Bibliografía (DML-E) | Bibliografía adicional | Enlaces de interés | Otros proyectos DML | Ayuda  
INICIO | 29 de marzo de 2024
  

Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.

Título inglés Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.
Título español Espacios de funciones en dominios de Lipschitz y en variedades de Lipschitz. Funciones características como multiplicadores puntuales.
Autor/es Triebel, Hans
Organización Math. Inst. Fak. Math. Informat. Friedrich-Schiller-Univ. Jena, Jena, Alemania
Revista 1139-1138
Publicación 2002, 15 (2): 475-524, 44 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés Function spaces of type Bspq and Fspq cover as special cases classical and fractional Sobolev spaces, classical Besov spaces, Hölder-Zygmund spaces and inhomogeneous Hardy spaces. In the last 2 or 3 decades they haven been studied preferably on Rn and in smooth bounded domains in Rn including numerous applications to pseudodifferential operators, elliptic boundary value problems etc. To a lesser extent spaces of this type have been considered in Lipschitz domains. But in recent times there is a growing interest to study and to use spaces of this type in Lipschitz domains and on their boundaries. It is the aim of this paper to deal with function spaces of Bspq and Fspq type in Lipschitz domains and on Lipschitz manifolds in a systematic (although not comprehensive) way: We describe and comment on known results, seal some gaps, give new proofs, and add a few new results of relevant aspects.
Clasificación UNESCO 120200
Palabras clave español Espacios de funciones lineales ; Espacios de Sobolev ; Dominios de Lipschitz ; Multiplicadores
Código MathReviews MR1951822
Código Z-Math Zbl 1034.46033
Icono pdf Acceso al artículo completo
Equipo DML-E
Instituto de Ciencias Matemáticas (ICMAT - CSIC)
rmm()icmat.es