L𝑝-extrapolation of non-local operators : maximal regularity of elliptic integrodifferential operators with measurable coefficients
| 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.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.identifier.doi | http://doi.org/10.25358/openscience-5816 | |
| dc.identifier.uri | https://openscience.ub.uni-mainz.de/handle/20.500.12030/5825 | |
| dc.language.iso | eng | de |
| dc.rights | CC-BY-4.0 | * |
| 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 |
| jgu.journal.title | Journal of evolution equations | de |
| jgu.journal.volume | 21 | de |
| jgu.organisation.department | FB 08 Physik, Mathematik u. Informatik | de |
| jgu.organisation.name | Johannes Gutenberg-Universität Mainz | |
| jgu.organisation.number | 7940 | |
| jgu.organisation.place | Mainz | |
| jgu.organisation.ror | https://ror.org/023b0x485 | |
| jgu.pages.end | 3151 | de |
| jgu.pages.start | 3129 | de |
| jgu.publisher.doi | 10.1007/s00028-020-00609-7 | |
| jgu.publisher.issn | 1424-3202 | de |
| 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.year | 2021 | |
| jgu.rights.accessrights | openAccess | |
| jgu.subject.ddccode | 510 | de |
| jgu.type.dinitype | Article | en_GB |
| jgu.type.resource | Text | de |
| jgu.type.version | Published version | de |