Extended calculi and powers of operators

Tuomas Hytönen*, Jan van Neerven, Mark Veraar, Lutz Weis

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeChapterScientificpeer-review

Abstract

In this chapter we address two strongly interwoven topics: How to verify the boundedness of the H-calculus of an operator and how to represent and estimate its fractional powers. For concrete operators such as the Laplace operator or elliptic partial differential operators, the fractional domain spaces can often be identifed with certain function spaces considered in Chapter 14 and the imaginary powers of the operator are related to singular integral and pseudo-differential operators treated in Chapters 11 and 13.

Original languageEnglish
Title of host publicationErgebnisse der Mathematik und ihrer Grenzgebiete
PublisherSpringer
Pages419-513
Number of pages95
DOIs
Publication statusPublished - 2023

Publication series

NameErgebnisse der Mathematik und ihrer Grenzgebiete
Volume76
ISSN (Print)0071-1136
ISSN (Electronic)2197-5655

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

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