Corrigendum to "Interpolation of Hilbert and Sobolev spaces: quantitative estimates and counterexamples" [Mathematika 61 (2015), 414-443]

Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Hewett, D. P. and Moiola, A. (2022) Corrigendum to "Interpolation of Hilbert and Sobolev spaces: quantitative estimates and counterexamples" [Mathematika 61 (2015), 414-443]. Mathematika, 68 (4). pp. 1393-1400. ISSN 0025-5793 doi: 10.1112/mtk.12155

Abstract/Summary

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 (for example, [5]) and elsewhere (for example, [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.

Additional Information	Original article 'Interpolation of Hilbert and Sobolev spaces: quantitative estimates and counterexamples' is in CentAUR at https://centaur.reading.ac.uk/37632/
Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/105175
Identification Number/DOI	10.1112/mtk.12155
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Additional Information	Original article 'Interpolation of Hilbert and Sobolev spaces: quantitative estimates and counterexamples' is in CentAUR at https://centaur.reading.ac.uk/37632/
Publisher	London Mathematical Society
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