Infinite intersections of doubling measures, weights, and function classes
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929516955303936 |
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| author | Anderson, Theresa C. Phillips, David Rudenko, Anastasiia You, Kevin |
| author_facet | Anderson, Theresa C. Phillips, David Rudenko, Anastasiia You, Kevin |
| contents | A series of longstanding questions in harmonic analysis ask if the intersection of all prime ``$p$-adic versions" of an object, such as a doubling measure, or a Muckenhoupt or reverse Hölder weight, recovers the full object. Investigation into these questions was reinvigorated in 2019 by work of Boylan-Mills-Ward, culminating in showing that this recovery fails for a finite intersection in work of Anderson-Bellah-Markman-Pollard-Zeitlin. Via generalizing a new number-theoretic construction therein, we answer these questions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18230 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Infinite intersections of doubling measures, weights, and function classes Anderson, Theresa C. Phillips, David Rudenko, Anastasiia You, Kevin Classical Analysis and ODEs Number Theory A series of longstanding questions in harmonic analysis ask if the intersection of all prime ``$p$-adic versions" of an object, such as a doubling measure, or a Muckenhoupt or reverse Hölder weight, recovers the full object. Investigation into these questions was reinvigorated in 2019 by work of Boylan-Mills-Ward, culminating in showing that this recovery fails for a finite intersection in work of Anderson-Bellah-Markman-Pollard-Zeitlin. Via generalizing a new number-theoretic construction therein, we answer these questions. |
| title | Infinite intersections of doubling measures, weights, and function classes |
| topic | Classical Analysis and ODEs Number Theory |
| url | https://arxiv.org/abs/2409.18230 |