Morrey and Campanato Meet Besov, Lizorkin and Triebel Introduction

Morrey and Campanato Meet Besov, Lizorkin and Triebel Introduction
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DOI:
10.1007/978-3-642-14606-0_1
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发表时间:
2010-01-01
期刊:
MORREY AND CAMPANATO MEET BESOV, LIZORKIN AND TRIEBEL
影响因子:
--
通讯作者:
Yang, Dachun
Yang, Dachun
中科院分区:
其他
文献类型:
--
作者:
Yuan, Wen;Sickel, Winfried;Yang, Dachun

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在过去的 60 年中,功能空间理论一直是人们日益感兴趣且日益多样化的主题。基于三个形式上不同的发展,即 Besov 和 Triebel-Lizorkin 空间理论、Morrey 和 Campanato 空间理论以及 Q 空间理论,作者为所有这些空间开发了一个统一的框架。作为副产品,作者提供了当 p=∞ 时 Triebel-Lizorkin 空间的理论的完成。
During the last 60 years the theory of function spaces has been a subject of growing interest and increasing diversity. Based on three formally different developments, namely, the theory of Besov and Triebel-Lizorkin spaces, the theory of Morrey and Campanato spaces and the theory of Q spaces, the authors develop a unified framework for all of these spaces. As a byproduct, the authors provide a completion of the theory of Triebel-Lizorkin spaces when p=∞.