Characterizations of parabolic Muckenhoupt classes
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916144141565952 |
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| author | Kinnunen, Juha Myyryläinen, Kim |
| author_facet | Kinnunen, Juha Myyryläinen, Kim |
| contents | This paper extends and complements the existing theory for the parabolic Muckenhoupt weights motivated by one-sided maximal functions and a doubly nonlinear parabolic partial differential equation of $p$-Laplace type. The main results include characterizations for the limiting parabolic $A_\infty$ and $A_1$ classes by applying an uncentered parabolic maximal function with a time lag. Several parabolic Calderón-Zygmund decompositions, covering and chaining arguments appear in the proofs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07600 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Characterizations of parabolic Muckenhoupt classes Kinnunen, Juha Myyryläinen, Kim Classical Analysis and ODEs Analysis of PDEs 42B35, 42B37 This paper extends and complements the existing theory for the parabolic Muckenhoupt weights motivated by one-sided maximal functions and a doubly nonlinear parabolic partial differential equation of $p$-Laplace type. The main results include characterizations for the limiting parabolic $A_\infty$ and $A_1$ classes by applying an uncentered parabolic maximal function with a time lag. Several parabolic Calderón-Zygmund decompositions, covering and chaining arguments appear in the proofs. |
| title | Characterizations of parabolic Muckenhoupt classes |
| topic | Classical Analysis and ODEs Analysis of PDEs 42B35, 42B37 |
| url | https://arxiv.org/abs/2306.07600 |