Embedding of <em>Q</em><sub><em>p</em></sub> spaces into tent spaces and Volterra integral operator
oleh: Ruishen Qian, Xiangling Zhu
| Format: | Article |
|---|---|
| Diterbitkan: | AIMS Press 2021-11-01 |
Deskripsi
In this paper, the boundedness and compactness of the inclusion mapping from $Q_p$ spaces into tent spaces $\mathcal{T}_{\frac{qp}{2},s}^{q}$ are completely characterized when $q>2$. As an application, the boundedness of the Volterra integral operator $T_g$ from $Q_p$ to the space $\mathcal{LF}(q,q-2,\frac{qp}{2})$ is obtained. Moreover, the essential norm and compactness of $T_g$ are also investigated.