Double phase meets Muckenhoupt
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915759726264320 |
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| author | Adamadze, Daviti Diening, Lars Kopaliani, Tengiz Ok, Jihoon |
| author_facet | Adamadze, Daviti Diening, Lars Kopaliani, Tengiz Ok, Jihoon |
| contents | In this paper we generalize the famous result of [FKS] to the double phase model. In particular, we work with minimal assumptions on the modulating coefficient by introducing a Muckenhoupt-type condition on generalized Orlicz spaces. We develop a complete theory equivalent to that of classical Muckenhoupt weights, including the boundedness of the maximal operator and Sobolev-Poincare estimates. We combine this with the De~Giorgi technique to show Hölder continuity of the solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20736 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Double phase meets Muckenhoupt Adamadze, Daviti Diening, Lars Kopaliani, Tengiz Ok, Jihoon Analysis of PDEs Functional Analysis 35B65, 42B25, 46E30 In this paper we generalize the famous result of [FKS] to the double phase model. In particular, we work with minimal assumptions on the modulating coefficient by introducing a Muckenhoupt-type condition on generalized Orlicz spaces. We develop a complete theory equivalent to that of classical Muckenhoupt weights, including the boundedness of the maximal operator and Sobolev-Poincare estimates. We combine this with the De~Giorgi technique to show Hölder continuity of the solutions. |
| title | Double phase meets Muckenhoupt |
| topic | Analysis of PDEs Functional Analysis 35B65, 42B25, 46E30 |
| url | https://arxiv.org/abs/2601.20736 |