Multi-parameter Singular Integrals, Volume I

von Brian Street

412 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields.

• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Analysis
• ISBN: 9780691162522
• Sprache: Englisch
• Erscheinungsdatum: 05.10.2014
• Größe: 234 x 156 mm
• Verlag: Princeton University Press