BackThe Hajlasz Capacity Density Condition is Self-improving
| dc.contributor.author | Canto Llorente, Javier | |
| dc.contributor.author | Vähäkangas, Antti V. | |
| dc.date.accessioned | 2022-11-22T17:56:19Z | |
| dc.date.available | 2022-11-22T17:56:19Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | The Journal of Geometric Analysis 32 : (2022) // Article ID 276 | es_ES |
| dc.identifier.issn | 1050-6926 | |
| dc.identifier.issn | 1559-002X | |
| dc.identifier.uri | http://hdl.handle.net/10810/58496 | |
| dc.description.abstract | We prove a self-improvement property of a capacity density condition for a nonlocal Hajlasz gradient in complete geodesic spaces with a doubling measure. The proof relates the capacity density condition with boundary Poincare inequalities, adapts Keith-Zhong techniques for establishing local Hardy inequalities and applies Koskela-Zhong arguments for proving self-improvement properties of local Hardy inequalities. This leads to a characterization of the Hajlasz capacity density condition in terms of a strict upper bound on the upper Assouad codimension of the underlying set, which shows the self-improvement property of the Hajlasz capacity density condition. | es_ES |
| dc.description.sponsorship | Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Springer | es_ES |
| dc.rights | info:eu-repo/semantics/openAccess | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
| dc.subject | analysis on metric spaces | es_ES |
| dc.subject | capacity density condition | es_ES |
| dc.subject | Hajlasz gradient | es_ES |
| dc.title | The Hajlasz Capacity Density Condition is Self-improving | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.holder | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ | es_ES |
| dc.rights.holder | Atribución 3.0 España | * |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007/s12220-022-00979-z | es_ES |
| dc.identifier.doi | 10.1007/s12220-022-00979-z | |
| dc.departamentoes | Matemáticas | es_ES |
| dc.departamentoeu | Matematika | es_ES |
Files in this item
This item appears in the following Collection(s)
Except where otherwise noted, this item's license is described as This article is licensed under a Creative Commons Attribution 4.0 International License, which
permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give
appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence,
and indicate if changes were made. The images or other third party material in this article are included
in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If
material is not included in the article’s Creative Commons licence and your intended use is not permitted
by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the
copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/