Multi-parameter singular integrals
著者
書誌事項
Multi-parameter singular integrals
（Annals of mathematics studies, no. 189）
Princeton University Press, 2014
- : pbk
- : hbk
大学図書館所蔵 全37件
注記
Includes bibliographical references (p. [383]-392) and index
内容説明・目次
内容説明
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.
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