A note on limiting Calderon–Zygmund theory for transformed n‐Laplace systems in divergence form
Abstract We consider rotated ‐Laplace systems on the unit ball of the form where , , and for some . We prove that with estimates. As a corollary, we obtain that solutions to , where is the Hardy space, have a higher integrability, namely, .
Authors
- Armin Schikorra (ORCID: https://orcid.org/0000-0001-9242-1782)
- Dorian Martino (ORCID: https://orcid.org/0009-0005-1963-2862)
Institutions
- University of Pittsburgh (US)
- Université Paris Cité (FR)
- Institut de Mathématiques de Jussieu-Paris Rive Gauche (FR)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2024-09-16
- DOI
- https://doi.org/10.1112/blms.13147
- Citations
- 1
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.97
Funders
- National Science Foundation