Morrey Spaces: Introduction and Applications to Integral Operators and Pde's, Volume II
暫譯: Morrey 空間：引言及其在積分算子與偏微分方程中的應用，第二卷
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: 424
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0367459159
- ISBN-13: 9780367459154
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相關主題
商品描述
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics.
Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE's discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces.
Features
- Provides a 'from-scratch' overview of the topic readable by anyone with an understanding of integration theory
- Suitable for graduate students, masters course students, and researchers in PDE's or Geometry
- Replete with exercises and examples to aid the reader's understanding
商品描述(中文翻譯)
莫雷空間（Morrey spaces）是由查爾斯·莫雷（Charles Morrey）提出的，旨在研究二階橢圓偏微分方程解的局部行為。這一技術在數學的許多領域中非常有用，特別是在調和分析、勢理論、偏微分方程和數學物理中。
在兩卷本的書籍《莫雷空間：引言及其在積分算子和偏微分方程中的應用》中，作者討論了莫雷空間理論的當前藝術狀態和發展前景，第二卷主要集中於莫雷空間的推廣和插值。
特點：
- 提供一個從零開始的主題概述，任何具備積分理論理解的人都能閱讀
- 適合研究生、碩士課程學生以及偏微分方程或幾何學的研究者
- 充滿練習題和範例，以幫助讀者理解
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·伊瓦納·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 空間及其他函數空間的插值，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。
