Variants of the Calderón-Zygmund theory for L^p-spaces.

Título inglés	Variants of the Calderón-Zygmund theory for Lp-spaces.
Título español	Variantes de la teoría de Calderón-Zygmund para espacios Lp.
Autor/es	Carbery, Anthony
Organización	Math. Div. Univ. Sussex, Brighton, Reino Unido
Revista	0213-2230
Publicación	1986, 2 (4): 381-396, 12 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	The purposes of this paper may be described as follows: (i) to provide a useful substitute for the Cotlar-Stein lemma for Lp-spaces (the orthogonality conditions are replaced by certain fairly weak smoothness asumptions); (ii) to investigate the gap between the Hörmander multiplier theorem and the Littman-McCarthy-Rivière example - just how little regularity is really needed? (iii) to simplify and extend the work of Duoandikoetxea and Rubio de Francia and Christ and Stein, which sometimes has unnecessarily strong assumptions, and to introduce a sensitivity to different Lp-spaces which does not appear in their work.
Clasificación UNESCO	120201
Palabras clave español	Operadores integrales ; Espacios LP
Código MathReviews	MR0913694
Código Z-Math	Zbl 0632.42013
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