Multi-parameter Singular Integrals. (AM-189), Volume I By: Brian Street Publisher: Princeton University Press Print ISBN: 9780691162522, 0691162522 eText ISBN: 9781400852758, 1400852757 Pages: 416 Copyright year: 2015 Format: PDF Available from $ 78.50 USD SKU 9781400852758 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. Additional ISBNs 9780691162515, 9780691162522, 0691162514, 0691162522, 9780691162515, 0691162514 Download eBook Free: https://ouo.io/tvWqF9