التفاصيل البيبلوغرافية
| العنوان: |
Littlewood–Paley–Rubio de Francia inequality for multi‐parameter Vilenkin systems. |
| المؤلفون: |
Borovitskiy, Viacheslav |
| المصدر: |
Mathematische Nachrichten; Mar2024, Vol. 297 Issue 3, p1092-1115, 24p |
| مصطلحات موضوعية: |
HARDY spaces, ABELIAN groups, ATOMIC theory, COMPACT groups, MARTINGALES (Mathematics), SINGULAR integrals |
| مستخلص: |
A version of Littlewood–Paley–Rubio de Francia inequality for bounded multi‐parameter Vilenkin systems is proved: For any family of disjoint sets Ik=Ik1×⋯×IkD⊆Z+D$I_k = I_k^1 \times \cdots \times I_k^D \subseteq {\mathbb {Z}_+^D}$ such that Ikd$I_k^d$ are intervals in Z+$\mathbb {Z}_+$ and a family of functions fk$f_k$ with Vilenkin–Fourier spectrum inside Ik$I_k$ the following holds: ∑kfkLp≤C∑kfk21/2Lp,1
|
|
Copyright of Mathematische Nachrichten is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
Full Text Finder