تقرير
On the bilinear Bochner-Riesz problem at critical index
| العنوان: | On the bilinear Bochner-Riesz problem at critical index |
|---|---|
| المؤلفون: | Choudhary, Surjeet Singh, Shrivastava, Saurabh |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, 42B25 |
| الوصف: | In this paper we study maximal and square functions associated with bilinear Bochner-Riesz means at the critical index. In particular, we prove that they satisfy weighted estimates from $L^{p_1}(w_1)\times L^{p_2}(w_2)\rightarrow L^p(v_w)$ for bilinear weights $(w_1,w_2)\in A_{\vec{P}}$ where $p_1,p_2>1$ and $\frac{1}{p_1}+\frac{1}{p_2}=\frac{1}{p}$. Also, we show that both the operators fail to satisfy weak-type estimates at the end-point $(1,1,\frac{1}{2})$. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2201.12036 |
| رقم الأكسشن: | edsarx.2201.12036 |
| قاعدة البيانات: | arXiv |
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