书目名称 | Extrapolation and Optimal Decompositions |
副标题 | with Applications to |
编辑 | Mario Milman |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | This book develops a theory of extrapolation spaces with applications to classical and modern analysis. Extrapolation theory aims to provide a general framework to study limiting estimates in analysis. The book also considers the role that optimal decompositions play in limiting inequalities incl. commutator estimates. Most of the results presented are new or have not appeared in book form before. A special feature of the book are the applications to other areas of analysis. Among them Sobolev imbedding theorems in different contexts including logarithmic Sobolev inequalities are obtained, commutator estimates are connected to the theory of comp. compactness, a connection with maximal regularity for abstract parabolic equations is shown, sharp estimates for maximal operators in classical Fourier analysis are derived. |
出版日期 | Book 1994 |
关键词 | Sobolev spaces; calculus; compactness; compensated compactness; differential equation; extrapolation; inte |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0073498 |
isbn_softcover | 978-3-540-58081-2 |
isbn_ebook | 978-3-540-48439-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1994 |