书目名称 | The Hardy Space H1 with Non-doubling Measures and Their Applications |
编辑 | Dachun Yang,Dongyong Yang,Guoen Hu |
视频video | |
概述 | The arguments for the main results are detailed and self-contained.At least one typical and easily explicable example is given for each important notion further clarifying the relationship between the |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | .The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of their applications. It also provides detailed and comprehensive arguments, many typical and easy-to-follow examples, and interesting unsolved problems..The theory of the Hardy space is a fundamental tool for Fourier analysis, with applications for and connections to complex analysis, partial differential equations, functional analysis and geometrical analysis. It also extends to settings where the doubling condition of the underlying measures may fail.. |
出版日期 | Book 2013 |
关键词 | Calderόn-Zygmund operator; Hardy space; Littlewood-Paley operator; Non-doubling measure; Non-homogeneous |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-00825-7 |
isbn_softcover | 978-3-319-00824-0 |
isbn_ebook | 978-3-319-00825-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer International Publishing Switzerland 2013 |