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This article is cited in 2 scientific papers (total in 2 papers)
Pointwise multiplication in the realized homogeneous Besov and Triebel–Lizorkin spaces
Samira Bissar, Madani Moussai Laboratory of Functional Analysis and Geometry of Spaces,
Mohamed Boudiaf University of M'Sila,
28000 M'Sila, Algeria
Abstract:
For either homogeneous Besov spaces $\dot B_{p,q}^s(\mathbb{R}^n)$ or homogeneous Triebel–Lizorkin spaces $\dot F_{p,q}^s(\mathbb{R}^n)$, with the conditions either $s < n/p$, or $s = n/p$ and $q \le 1$ in the $\dot B_{p,q}^s$-case, $p \le 1$ in the $\dot F_{p,q}^s$-case, we prove some pointwise multiplication assertions in their realized spaces.
Keywords:
homogeneous Besov space; homogeneous Triebel–Lizorkin space; pointwise multiplication; realization.
Received: 07.11.2017 Revised: 09.02.2018 Accepted: 15.02.2018
Citation:
Samira Bissar, Madani Moussai, “Pointwise multiplication in the realized homogeneous Besov and Triebel–Lizorkin spaces”, Probl. Anal. Issues Anal., 7(25):1 (2018), 3–22
Linking options:
https://www.mathnet.ru/eng/pa222 https://www.mathnet.ru/eng/pa/v25/i1/p3
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Abstract page: | 229 | Full-text PDF : | 67 | References: | 26 |
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