تقرير
Oscillation estimates for truncated singular Radon operators
| العنوان: | Oscillation estimates for truncated singular Radon operators |
|---|---|
| المؤلفون: | Słomian, Wojciech |
| المصدر: | Journal of Fourier Analysis and Applications 2023 |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, 42B25(Primary), 42B20, 42B15 |
| الوصف: | In this paper we prove uniform oscillation estimates on $L^p$, with $p\in(1,\infty)$, for truncated singular integrals of the Radon type associated with Calder\'on-Zygmund kernel, both in continuous and discrete settings. In the discrete case we use the Ionescu-Wainger multiplier theorem and the Rademacher-Menshov inequality to handle the number-theoretic nature of the discrete singular integral. The result we obtained in the continuous setting can be seen as a generalisation of the results of Campbell, Jones, Reinhold and Wierdl for the continuous singular integrals of the Calder\'on-Zygmund type. Comment: 16 pages, no figures, accepted for publication in the Journal of Fourier Analysis and Applications |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00041-022-09986-8 |
| URL الوصول: | http://arxiv.org/abs/2204.05099 |
| رقم الأكسشن: | edsarx.2204.05099 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00041-022-09986-8 |
|---|