Lp-square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets - Couverture souple

Hofmann, Steve; Mitrea, Dorina; Mitrea, Marius; Morris, Andrew J.

Couverture souple

ISBN 10 : 1470422603 ISBN 13 : 9781470422608

Editeur : American Mathematical Society, 2017

Synopsis

The authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local T(b) theorem and applying it to show that such estimates are stable under the so-called big pieces functor. More generally, they consider integral operators associated with Ahlfors-David regular sets of arbitrary codimension in ambient quasi-metric spaces. The local T(b) theorem is then used to establish an inductive scheme in which square function estimates on so-called big pieces of an Ahlfors-David regular set are proved to be sufficient for square function estimates to hold on the entire set. Extrapolation results for L^p and Hardy space versions of these estimates are also established. Moreover, the authors prove square function estimates for integral operators associated with variable coefficient kernels, including the Schwartz kernels of pseudodifferential operators acting between vector bundles on subdomains with uniformly rectifiable boundaries on manifolds.

A propos du livre

À propos de l?auteur

Steve Hofmann, University of Missouri, Columbia. Dorina Mitrea, University of Missouri, Columbia. Marius Mitrea, University of Missouri, Columbia. Andrew J. Morris, University of Missouri, Columbia.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2017
• Langue: anglais
• ISBN 10: 1470422603
• ISBN 13: 9781470422608
• Reliure: Broché
• Nombre de pages: 108
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible