تقرير
Radial Fourier multipliers in high dimensions
| العنوان: | Radial Fourier multipliers in high dimensions |
|---|---|
| المؤلفون: | Heo, Yaryong, Nazarov, Fedor, Seeger, Andreas |
| المصدر: | Acta Mathematica, 206, No 1 (2011), 55-92 |
| سنة النشر: | 2009 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, 42B15 |
| الوصف: | Given a fixed $p\neq 2$, we prove a simple and effective characterization of all radial multipliers of $\cF L^p(\Bbb R^d)$, provided that the dimension $d$ is sufficiently large. The method also yields new $L^q$ space-time regularity results for solutions of the wave equation in high dimensions. Comment: Some changes in the last section |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0902.0943 |
| رقم الأكسشن: | edsarx.0902.0943 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |