Martingale Hardy spaces and their applications in Fourier analysis

＜図書＞
Martingale Hardy spaces and their applications in Fourier analysis

責任表示	Ferenc Weisz
シリーズ	Lecture notes in mathematics ; 1568
データ種別	図書
出版情報	Berlin ; New York : Springer-Verlag , c1994
本文言語	英語
大きさ	viii, 217 p. ; 24 cm
概要	This book deals with the theory of one- and two-parameter martingale Hardy spaces and their use in Fourier analysis, and gives a summary of the latest results in this field. A method that can be appl...ed for both one- and two-parameter cases, the so-called atomic decomposition method, is improved and provides a new and common construction of the theory of one- and two-parameter martingale Hardy spaces. A new proof of Carleson's convergence result using martingale methods for Fourier series is given with martingale methods. The book is accessible to readers familiar with the fundamentals of probability theory and analysis. It is intended for researchers and graduate students interested in martingale theory, Fourier analysis and in the relation between them. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7018610

一般注記	Includes bibliographical references (p. [204]-213) and subject index
著者標目	*Weisz, Ferenc, 1964-
件　名	LCSH:Martingales (Mathematics) LCSH:Hardy spaces LCSH:Fourier analysis
分　類	NDC8:410.8 NDC8:410.59 LCC:QA3 LCC:QA274.5 DC20:510 s DC20:519.2/87
書誌ID	1000031114
ISBN	0387576231
NCID	BA22360808
巻冊次	: us ; ISBN:0387576231 : gw ; ISBN:3540576231
登録日	2009.09.10
更新日	2017.02.18