Morrey and Campanato Meet Besov, Lizorkin and Triebel

Morrey and Campanato Meet Besov, Lizorkin and Triebel
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DOI:
10.1007/978-3-642-14606-0
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发表时间:
2010-09
期刊:
--
影响因子:
--
通讯作者:
Wen Yuan;W. Sickel;Dachun Yang
Wen Yuan;W. Sickel;Dachun Yang
中科院分区:
其他
文献类型:
--
作者:
Wen Yuan;W. Sickel;Dachun Yang

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在过去的60年中,理论的功能空间一直是一个主题的兴趣越来越大,越来越多样化。基于Besov和Triebel-Lizorkin空间理论、Morrey和Campanato空间理论以及Q空间理论的三个不同发展,作者发展了所有这些空间的统一框架。作为一个副产品,作者提供了一个完整的理论Triebel-Lizorkin空间时,p=∞。
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=∞.