论文标题
部分可观测时空混沌系统的无模型预测
Sharp embedding between Wiener amalgam and some classical spaces
论文作者
论文摘要
We establish the sharp conditions for the embedding between Wiener amalgam spaces $W_{p,q}^s$ and some classical spaces, including Sobolev spaces $L^{s,r}$, local Hardy spaces $h_{r}$, Besov spaces $B_{p,q}^s$, which partially improve and extend the main result obtained by Guo et al.在J.功能中。肛门，273（1）：404-443，2017。此外，我们给出了Wiener amalgam空间之间包含的全部表征，$ w_ {p，q}^s $和$α$ - 调整空间$ m_ {尤其是在$α= 0 $的情况下，使用$ m_ {p，q}^{s，α} = m_ {p，q}^s $，我们给出了这些嵌入的最一般情况的鲜明情况。当$ 0 <p \ leqslant 1 $时，我们还建立了Wiener Amalgam空间和Triebel Spaces $ f_ {p，r}^{s} $之间的尖锐嵌入。
We establish the sharp conditions for the embedding between Wiener amalgam spaces $W_{p,q}^s$ and some classical spaces, including Sobolev spaces $L^{s,r}$, local Hardy spaces $h_{r}$, Besov spaces $B_{p,q}^s$, which partially improve and extend the main result obtained by Guo et al. in J. Funct. Anal., 273(1):404-443, 2017. In addition, we give the full characterization of inclusion between Wiener amalgam spaces $W_{p,q}^s$ and $α$-modulation spaces $M_{p,q}^{s,α}$. Especially, in the case of $α=0$ with $M_{p,q}^{s,α} = M_{p,q}^s$, we give the sharp conditions of the most general case of these embedding. When $0<p\leqslant 1$, we also establish the sharp embedding between Wiener amalgam spaces and Triebel spaces $F_{p,r}^{s}$.
