تقرير
New 2-microlocal Besov and Triebel-Lizorkin spaces via the Littlewood-Paley decomposition
| العنوان: | New 2-microlocal Besov and Triebel-Lizorkin spaces via the Littlewood-Paley decomposition |
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| المؤلفون: | Saka, Koichi |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, 42B35, 42B20, 42B25, 42C40 |
| الوصف: | In this paper we introduce and investigate new 2-microlocal Besov and Triebel-Lizorkin space via the Littlewood-Paly decomposition. We establish characterizations of these function spaces by the $phi$-transform, the atomic and molecular decomposition and the wavelet decomposition. As applications we prove boundedness of Caldeon-Zygmund operators and the pseudo-differential operators on the function spaces. Moreover, we give characterizations via oscillations and differences. Comment: arXiv admin note: text overlap with arXiv:2303.04317 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.02175 |
| رقم الأكسشن: | edsarx.2408.02175 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |