In this paper, we study the boundedness and compactness of the inclusion mapping from Dirichlet type spaces $\mathcal {D}^{p}_{p-1 }$ to tent spaces. Meanwhile, the boundedness, compactness, and essential norm of Volterra integral operators from Dirichlet type spaces $\mathcal {D}^{p}_{p-1 }$ to general function spaces are also investigated.

中文翻译：

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将 Dirichlet 类型空间嵌入帐篷空间和 Volterra 算子

在本文中，我们研究了从 Dirichlet 类型空间 $\mathcal {D}^{p}_{p-1 }$ 到帐篷空间的包含映射的有界性和紧致性 。同时，还研究了从 Dirichlet 类型空间 $\mathcal {D}^{p}_{p-1 }$ 到一般函数空间的 Volterra 积分算子的有界性、紧致性和本质范数 。