书目名称 | Variable Lebesgue Spaces and Hyperbolic Systems |
编辑 | David Cruz-Uribe,Alberto Fiorenza,Jens Wirth,Serge |
视频video | |
概述 | Features a concise introduction to variable Lebesgue spaces requiring only basic knowledge of analysis.Includes an easy-to-read introduction to the classical problems as well as to recent developments |
丛书名称 | Advanced Courses in Mathematics - CRM Barcelona |
图书封面 |  |
描述 | .This book targets graduate students and researchers who want to learn about Lebesgue spaces and solutions to hyperbolic equations. It is divided into two parts..Part 1 provides an introduction to the theory of variable Lebesgue spaces: Banach function spaces like the classical Lebesgue spaces but with the constant exponent replaced by an exponent function. These spaces arise naturally from the study of partial differential equations and variational integrals with non-standard growth conditions. They have applications to electrorheological fluids in physics and to image reconstruction. After an introduction that sketches history and motivation, the authors develop the function space properties of variable Lebesgue spaces; proofs are modeled on the classical theory. Subsequently, the Hardy-Littlewood maximal operator is discussed. In the last chapter, other operators from harmonic analysis are considered, such as convolution operators and singular integrals. The text is mostly self-contained, with only some more technical proofs and background material omitted. .Part 2 gives an overview of the asymptotic properties of solutions to hyperbolic equations and systems with time-dependent |
出版日期 | Textbook 2014 |
关键词 | Rubio de Francia extrapolation; hyperbolic Cauchy problems; maximal operators; oscillating time-depende |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-0348-0840-8 |
isbn_softcover | 978-3-0348-0839-2 |
isbn_ebook | 978-3-0348-0840-8Series ISSN 2297-0304 Series E-ISSN 2297-0312 |
issn_series | 2297-0304 |
copyright | Springer Basel 2014 |