A bootstrapping approach to jump inequalities and their applications
| Autor: | Mirek, Mariusz, Stein, Elias M., Zorin-Kranich, Pavel |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Analysis & PDE 13 (2020) 527-558 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/apde.2020.13.527 |
| Popis: | The aim of this paper is to present an abstract and general approach to jump inequalities in harmonic analysis. Our principal conclusion is the refinement of $r$-variational estimates, previously known for $r>2$, to end-point results for the jump quasi-seminorm corresponding to $r=2$. This is applied to the dimension-free results recently obtained by the first two authors in collaboration with Bourgain and Wr\'obel (arXiv:1708.04639 and arXiv:1804.07679), and also to operators of Radon type treated by Jones, Seeger, and Wright. Comment: 25 pages, small corrections |
| Databáze: | arXiv |
| Externí odkaz: |
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