Authors:	Tolksdorf, Patrick
Title:	L𝑝-extrapolation of non-local operators : maximal regularity of elliptic integrodifferential operators with measurable coefficients
Online publication date:	15-Dec-2021
Year of first publication:	2021
Language:	english
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.
DDC:	510 Mathematik 510 Mathematics
Institution:	Johannes Gutenberg-Universität Mainz
Department:	FB 08 Physik, Mathematik u. Informatik
Place:	Mainz
ROR:	https://ror.org/023b0x485
DOI:	http://doi.org/10.25358/openscience-5816
Version:	Published version
Publication type:	Zeitschriftenaufsatz
License:	CC BY
Information on rights of use:	https://creativecommons.org/licenses/by/4.0/
Journal:	Journal of evolution equations 21
Pages or article number:	3129 3151
Publisher:	Springer
Publisher place:	Basel
Issue date:	2021
ISSN:	1424-3202
Publisher URL:	https://doi.org/10.1007/s00028-020-00609-7
Publisher DOI:	10.1007/s00028-020-00609-7
Appears in collections:	JGU-Publikationen