书目名称 | Martingale Hardy Spaces and their Applications in Fourier Analysis |
编辑 | Ferenc Weisz |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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 applied 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. |
出版日期 | Book 1994 |
关键词 | Fourier series; Fourier-Analysis; Hardy and BMO spaces; Hardy‘s inequality; Martingale; Martingales; One- |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0073448 |
isbn_softcover | 978-3-540-57623-5 |
isbn_ebook | 978-3-540-48295-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1994 |