Iranian Journal of Science and Technology, Transactions A: Science ( IF 1.4 ) Pub Date : 2021-06-16 , DOI: 10.1007/s40995-021-01154-9 Ruishen Qian , Nanhui Hu
The boundedness and compactness of embedding from Dirichlet-Morrey spaces \({\mathcal {D}}_{p}^{\lambda }\) into tent spaces \({\mathcal {T}}^q_{ s}(\mu )\) are studied in this paper. For an application, a characterization for the boundedness of the Volterra operator \(T_g\) from \({\mathcal {D}}_{p}^{\lambda }\) to \(F\left( q,\frac{qp(1-\lambda )}{2},s\right) \) is given. The essential norm and compactness of \(T_g\) from \({\mathcal {D}}_{p}^{\lambda }\) to \(F\left( q,\frac{qp(1-\lambda )}{2},s\right) \) are also investigated.
中文翻译:
将 Dirichlet-Morrey 空间 $${\mathcal {D}}_{p}^{\lambda }$$ D p λ 嵌入 Tent Spaces 和 Volterra 积分算子
从 Dirichlet-Morrey 空间\({\mathcal {D}}_{p}^{\lambda }\)嵌入到帐篷空间\({\mathcal {T}}^q_{ s}(\ mu )\)在本文中进行了研究。对于应用程序,Volterra 算子\(T_g\)从\({\mathcal {D}}_{p}^{\lambda }\)到\(F\left( q,\frac {qp(1-\lambda )}{2},s\right) \)给出。基本规范和紧凑\(T_G \)从\({\ mathcal {d}} _ {P} ^ {\拉姆达} \)到\(F \左(Q,\压裂{QP(1- \拉姆达)}{2},s\right)\)也进行了调查。