Estimates for tail functions under Riesz transforms in Grand Lebesgue Spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866912990885838848 |
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| author | Formica, Maria Rosaria Ostrovsky, Eugene Sirota, Leonid |
| author_facet | Formica, Maria Rosaria Ostrovsky, Eugene Sirota, Leonid |
| contents | We study the tail behaviour of measurable functions under generalized Riesz-type operators in the framework of Grand Lebesgue Spaces. By exploiting the connection between the growth of $L^p$ norms and the Young--Fenchel transform, we derive explicit tail estimates from suitable $L^p$ bounds. We also present model examples and apply the abstract result to the classical Riesz transforms, showing how the $L^p$ growth of the operator interacts with the intrinsic tail behaviour of the input function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29564 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Estimates for tail functions under Riesz transforms in Grand Lebesgue Spaces Formica, Maria Rosaria Ostrovsky, Eugene Sirota, Leonid Functional Analysis We study the tail behaviour of measurable functions under generalized Riesz-type operators in the framework of Grand Lebesgue Spaces. By exploiting the connection between the growth of $L^p$ norms and the Young--Fenchel transform, we derive explicit tail estimates from suitable $L^p$ bounds. We also present model examples and apply the abstract result to the classical Riesz transforms, showing how the $L^p$ growth of the operator interacts with the intrinsic tail behaviour of the input function. |
| title | Estimates for tail functions under Riesz transforms in Grand Lebesgue Spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2603.29564 |