Endpoint Variation and jump inequalities for rough singular integrals
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914386060247040 |
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| author | Bhojak, Ankit Shrivastava, Saurabh |
| author_facet | Bhojak, Ankit Shrivastava, Saurabh |
| contents | In this article, we prove weak type $(1,1)$ bounds for the variation and jump operators corresponding to the family of truncations of singular integrals with rough kernels. This resolves an open question raised by Jones, Seeger and Wright (Trans. Amer. Math. Soc. (2008)). Moreover, as an immediate consequence of the variational estimate, we recover the weak type $(1,1)$ boundedness of the maximal truncation operator corresponding to singular integrals with rough kernels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21888 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Endpoint Variation and jump inequalities for rough singular integrals Bhojak, Ankit Shrivastava, Saurabh Classical Analysis and ODEs 42B20, 42B25 In this article, we prove weak type $(1,1)$ bounds for the variation and jump operators corresponding to the family of truncations of singular integrals with rough kernels. This resolves an open question raised by Jones, Seeger and Wright (Trans. Amer. Math. Soc. (2008)). Moreover, as an immediate consequence of the variational estimate, we recover the weak type $(1,1)$ boundedness of the maximal truncation operator corresponding to singular integrals with rough kernels. |
| title | Endpoint Variation and jump inequalities for rough singular integrals |
| topic | Classical Analysis and ODEs 42B20, 42B25 |
| url | https://arxiv.org/abs/2602.21888 |