Xiangling Zhu, Lian Hu, Dan Qu, Embedding of Qp spaces into tent spaces and the extended Cesàro operator

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DOI: 10.23952/jnva.7.2023.3.07

Volume 7, Issue 3, 1 June 2023, Pages 421-435

Abstract. In this paper, the boundedness and compactness of the identity operator from $Q_x$ spaces into tent spaces $\mathcal{T}_{\lambda,s}^{q}$ are completely characterized in the unit ball of $\mathbb{C}^n$ when $q>2$ . As an application, the boundedness of the extended Cesàro operator $T_g$ from $Q_x$ to the space $F(p,q,s,p)$ is obtained. Moreover, the essential norm and compactness of $T_g$ are also investigated.

How to Cite this Article:
X. Zhu, L. Hu, D. Qu, Embedding of $Q_p$ spaces into tent spaces and the extended Cesàro operator, J. Nonlinear Var. Anal. 7 (2023), 421-435.