Algebras of Singular Integral Operators With Kernels Controlled by Multiple Norms - Couverture souple

Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen

Couverture souple

ISBN 10 : 1470434385 ISBN 13 : 9781470434380

Editeur : American Mathematical Society, 2019

Synopsis

The authors study algebras of singular integral operators on $\mathbb R^n$ and nilpotent Lie groups that arise when considering the composition of Calderon-Zygmund operators with different homogeneities, such as operators occuring in sub-elliptic problems and those arising in elliptic problems. These algebras are characterized in a number of different but equivalent ways: in terms of kernel estimates and cancellation conditions, in terms of estimates of the symbol, and in terms of decompositions into dyadic sums of dilates of bump functions. The resulting operators are pseudo-local and bounded on $L^p$ for $1 \lt p \lt \infty $. While the usual class of Calderon-Zygmund operators is invariant under a one-parameter family of dilations, the operators studied here fall outside this class, and reflect a multi-parameter structure.

A propos du livre

À propos de l?auteur

Alexander Nagel, University of Wisconsin-Madison, WI.

Fulvio Ricci, Scuola Normale Superiore, Pisa, Italy.

Elias M. Stein, Princeton University, NJ.

Stephen Wainger, University of Wisconsin-Madison, WI.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2019
• Langue: anglais
• ISBN 10: 1470434385
• ISBN 13: 9781470434380
• Reliure: Broché
• Nombre de pages: 141
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible