Lian Hu, Songxiao Li, Riemann-Stieltjes operators on Bergman-Morrey spaces in the unit ball of $\mathbb{C}^n$

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DOI: 10.23952/jnva.9.2025.6.08

Volume 9, Issue 6, 1 December 2025, Pages 971-985

Abstract. In this paper, the Bergman-Morrey space $\mathcal{A}^{p,\lambda}(\mathbb{B})$ is introduced in the open unit ball of $\mathbb{C}^n$ and the identity operator from $\mathcal{A}^{p,\lambda}(\mathbb{B})$ into a tent space $\mathcal{T}^\infty_{p,{\lambda(n+1) \over n}}(\mu)$ is characterized. Furthermore, the boundedness, compactness, and essential norm of the Riemann-Stieltjes operators $V_g$ and $U_g$ on $\mathcal{A}^{p,\lambda}(\mathbb{B})$ spaces are investigated.

How to Cite this Article:
L. Hu, S. Li, Riemann-Stieltjes operators on Bergman-Morrey spaces in the unit ball of $\mathbb{C}^n$ , J. Nonlinear Var. Anal. 9 (2025), 971-985.