Morrey Spaces: Introduction and Applications to Integral Operators and Pde's, Volume I
暫譯: Morrey 空間：引言及其在積分算子與偏微分方程中的應用，第一卷
Sawano, Yoshihiro, Di Fazio, Giuseppe, Hakim, Denny Ivanal
- 出版商: CRC
- 出版日期: 2020-09-17
- 售價: $7,780
- 貴賓價: 9.5 折 $7,391
- 語言: 英文
- 頁數: 504
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1498765513
- ISBN-13: 9781498765510
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商品描述
The contents of this book are dedicated to the theoretical aspect of Morrey spaces. In addition, applications to PDEs is provided. Some of the topics described include Bilinear estimates, Boundedness of pseudo-differential operators; Elliptic differential operators and Fractional integral operators. This book gives examples in many fields of analysis, functional analysis, Fourier analysis and so on. Many concrete Banach spaces appear as well as the boundedness of the operators. In addition, the reader will grasp important notions of reflexivity and separability of Banach spaces. Finally, interpolation theory is also covered.
商品描述(中文翻譯)
本書的內容專注於 Morrey 空間的理論方面。此外，還提供了對偏微分方程（PDEs）的應用。所描述的一些主題包括雙線性估計、偽微分算子的有界性、橢圓微分算子和分數積分算子。本書在許多分析領域中提供了例子，包括泛函分析、傅立葉分析等。許多具體的巴拿赫空間（Banach spaces）出現，以及算子的有界性。此外，讀者將掌握巴拿赫空間的反射性和可分性的重要概念。最後，插值理論也有涵蓋。
作者簡介
Yoshihiro Sawano is associate professor in Department of Mathematics and Information Sciences at Tokyo Metropolitan University. Before joining Tokyo Metropolitan University in 2012, he served as assistant professor at Kyoto University from November 2009 to March 2012. Yoshihiro received PhD from The University of Tokyo in the year 2006. His research interests include harmonic analysis and the reproducing kernel Hilbert spaces
Giuseppe Di Fazio is Full Professor at University of Catania. He received his PhD in Mathematics in 1992 from University of Catania. He has worked as visiting professor at many universities around the world including Temple University, MSRI at Berkeley, University of Kyoto, Universita Autonoma de Madrid, ITB at Bandung Indonesia and Tokyo Metropolitan University. His research interests is focused on regularity problems for elliptic PDEs and boundedness properties of integral operators acting on Morrey spaces.
Denny Ivanal Hakim is a lecturer at Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology since 2014. He obtained his PhD in Mathematics at Tokyo Metropolitan University in 2018 under supervision of Professor Yoshihiro Sawano and his bachelor's and asters' from Bandung Institute of Technology. His research interests include boundedness of integral operators in Morrey spaces, interpolation of Morrey spaces, and other function spaces, and also regularity theory of elliptic partial differential equations. He has authored or co-authored more than 20 research articles.
作者簡介(中文翻譯)
澤野義宏是東京 Metropolitan 大學數學與資訊科學系的副教授。在2012年加入東京 Metropolitan 大學之前，他於2009年11月至2012年3月擔任京都大學的助理教授。澤野於2006年獲得東京大學的博士學位。他的研究興趣包括調和分析和再生核希爾伯特空間。
朱塞佩·迪·法齊奧 是卡塔尼亞大學的正教授。他於1992年在卡塔尼亞大學獲得數學博士學位。他曾在世界各地的多所大學擔任訪問教授，包括天普大學、伯克利的數學科學研究所、京都大學、馬德里自治大學、印尼萬丹的ITB以及東京 Metropolitan 大學。他的研究興趣集中在橢圓偏微分方程的正則性問題和作用於 Morrey 空間的積分算子的有界性特性。
丹尼·伊凡納爾·哈基姆 自2014年以來擔任萬丹科技學院數學與自然科學系的講師。他於2018年在東京 Metropolitan 大學獲得數學博士學位，指導教授為澤野義宏，並在萬丹科技學院獲得學士和碩士學位。他的研究興趣包括 Morrey 空間中積分算子的有界性、Morrey 空間的插值及其他函數空間，以及橢圓偏微分方程的正則性理論。他已發表或共同發表超過20篇研究文章。
