Gutenberg Open Science: L𝑝-extrapolation of non-local operators : maximal regularity of elliptic integrodifferential operators with measurable coefficients

Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-5816

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DC Field	Value	Language
dc.contributor.author	Tolksdorf, Patrick	-
dc.date.accessioned	2021-12-15T11:10:47Z	-
dc.date.available	2021-12-15T11:10:47Z	-
dc.date.issued	2021	-
dc.identifier.uri	https://openscience.ub.uni-mainz.de/handle/20.500.12030/5825	-
dc.description.abstract	The aim of this article is to deepen the understanding of the derivation of Lp-estimates of non-local operators. We review the Lp-extrapolation theorem of Shen (2005) which builds on a real variable argument of Caffarelli and Peral (1998) and adapt this theorem to account for non-local weak reverse Hölder estimates. These non-local weak reverse Hölder estimates appear, for example, in the investigation of non-local elliptic integrodifferential operators. This originates from the fact that here only a non-local Caccioppoli inequality is valid, see Kuusi, Mingione, and Sire (2015). As an application, we prove resolvent estimates and maximal regularity properties in Lp-spaces of non-local elliptic integrodifferential operators.	en_GB
dc.language.iso	eng	de
dc.rights	CC BY	*
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	*
dc.subject.ddc	510 Mathematik	de_DE
dc.subject.ddc	510 Mathematics	en_GB
dc.title	L𝑝-extrapolation of non-local operators : maximal regularity of elliptic integrodifferential operators with measurable coefficients	en_GB
dc.type	Zeitschriftenaufsatz	de
dc.identifier.doi	http://doi.org/10.25358/openscience-5816	-
jgu.type.dinitype	article	en_GB
jgu.type.version	Published version	de
jgu.type.resource	Text	de
jgu.organisation.department	FB 08 Physik, Mathematik u. Informatik	de
jgu.organisation.number	7940	-
jgu.organisation.name	Johannes Gutenberg-Universität Mainz	-
jgu.rights.accessrights	openAccess	-
jgu.journal.title	Journal of evolution equations	de
jgu.journal.volume	21	de
jgu.pages.start	3129	de
jgu.pages.end	3151	de
jgu.publisher.year	2021	-
jgu.publisher.name	Springer	de
jgu.publisher.place	Basel	de
jgu.publisher.uri	https://doi.org/10.1007/s00028-020-00609-7	de
jgu.publisher.issn	1424-3202	de
jgu.organisation.place	Mainz	-
jgu.subject.ddccode	510	de
jgu.publisher.doi	10.1007/s00028-020-00609-7
jgu.organisation.ror	https://ror.org/023b0x485
Appears in collections:	JGU-Publikationen

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