Multi-Parameter Singular Integrals
商品資訊
系列名：Annals of Mathematics Studies
ISBN13：9780691162522
出版社：Princeton Univ Pr
作者：Brian Street
出版日：2014/08/24
裝訂／頁數：平裝／416頁
規格：24.1cm*16.5cm*3.2cm (高/寬/厚)
商品簡介
This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the classical theory of Calderon-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Caratheodory 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.
作者簡介
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