تقرير
Bilinear Bochner-Riesz square function and applications
| العنوان: | Bilinear Bochner-Riesz square function and applications |
|---|---|
| المؤلفون: | Choudhary, Surjeet Singh, Jotsaroop, K., Shrivastava, Saurabh, Shuin, Kalachand |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, 42A85, 42B15, 42B25 |
| الوصف: | In this paper we introduce Stein's square function associated with bilinear Bochner-Riesz means and investigate its $L^p$ boundedness properties. Further, we discuss several applications of the square function in the context of bilinear multipliers. In particular, we obtain results for maximal function associated with generalised bilinear Bochner-Riesz means. This extends the results proved in~\cite{JS}. Another application concerns the $L^p$ estimates for bilinear fractional Schr\"{o}dinger multipliers. Finally, we improve upon a result of Grafakos, He and Honzik~\cite{GHH} in the context of bilinear radial multipliers and provide a dimension free sufficient condition on the bilinear multipliers for $L^2\times L^2\rightarrow L^1$ boundedness of the associated maximal function. The generalised bilinear spherical maximal function is a particular example of such maximal functions. Comment: New applications are added |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2107.00840 |
| رقم الأكسشن: | edsarx.2107.00840 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |