Corrigendum: Interpolation of Hilbert and Sobolev spaces: Quantitative estimates and counterexamples (Mathematika 61 (2015), 414-443)
Corrigendum: Interpolation of Hilbert and Sobolev spaces: Quantitative estimates and counterexamples (Mathematika 61 (2015), 414-443)
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勘误表：希尔伯特空间和索博列夫空间的插值：定量估计和反例 (Mathematika 61 (2015), 414-443)
DOI：
10.1112/mtk.12155
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发表时间：
2022
期刊：
影响因子：
0.8
通讯作者：
Chandler-Wilde S
中科院分区：
文献类型：
--
作者：
Chandler-Wilde S
自从我们在2015年发表了这篇论文[4]以来，我们从中得到的定量结果，以及我们对插值空间文献中结果的总结，已经在我们自己的工作（例如[5]）和其他地方（例如[13]）中使用。但是，这篇论文发表时有一些不准确之处，我们在本注中予以纠正，包括在[13，p.1768]中标记的不准确之处。我们使用[4]的符号。正如在[4]中，我们主要打算把向量空间、Banach空间和Hilbert空间看作它们的复形式。但是，除了我们处理复插值的地方，下面的结果同样适用于真实的情况，对陈述和证明做了微小的修改。
Since we published the paper [4] in 2015 the quantitative results we derive therein, and the summary we provide of results in the literature on interpolation spaces, have been of use in our own work (eg,[5]) and elsewhere (eg,[13]). But the paper as published is marred by inaccuracies which we correct in this note § , including the inaccuracy flagged in [13, p. 1768]. We use throughout the notations of [4]. As in [4] we intend primarily that vector space, Banach space, and Hilbert space should be read as their complex versions. But, except where we deal with complex interpolation, the results below apply equally in the real case, with minor changes to the statements and proofs.