This book is intended to be a detailed and carefully written account of various versions of the Littlewood-Paley theorem and of some of its applications, together with indications of its general significance in Fourier multiplier theory. We have striven to make the presentation self-contained and unified, and adapted primarily for use by graduate students and established mathematicians who wish to begin studies in these areas: it is certainly not intended for experts in the subject. It has been our experience, and the experience of many of our students and colleagues, that this is an area poorly served by existing books. Their accounts of the subject tend to be either ill-suited to the needs of a beginner, or fragmentary, or, in one or two instances, obscure. We hope that our book will go some way towards filling this gap in the literature. Our presentation of the Littlewood-Paley theorem proceeds along two main lines, the first relating to singular integrals on locally com­ pact groups, and the second to martingales. Both classical and modern versions of the theorem are dealt with, appropriate to the classical n groups IRn, ?L , Tn and to certain classes of disconnected groups. It is for the disconnected groups of Chapters 4 and 5 that we give two separate accounts of the Littlewood-Paley theorem: the first Fourier analytic, and the second probabilistic.

尊敬的读者：
欢迎您访问我们的网站。本站的初衷是为大家提供一个共享学习资料、交换知识的平台。每位用户都可以将文件上传至网盘并分享。
然而，随着用户上传的资料增多，我们发现部分不宜或版权问题的书籍被分享到了本站。
为此，我们已经关闭了分享入口，并进行了多次书籍审查，但仍有部分内容未能彻底审查到位。
在此，我们恳请广大读者与我们共同监督，如发现任何不宜内容，请 点击此处 进行举报，我们会第一时间处理并下架相关内容。
希望我们能共建一个文明社区！感谢您的理解与支持！