Xiangling Zhu, Ding Nan, Volterra integral operator on a-Dirichlet-Morrey spaces

Full Text: PDF
DOI: 10.23952/jnva.10.2026.6.06

Volume 10, Issue 6, 1 December 2026, Pages 1145-1162

Abstract. In this paper, a new family of function spaces, referred to as $\alpha$ -Dirichlet-Morrey spaces and denoted by $\mathcal{D}^\alpha_{\beta,\lambda}$ , is introduced. For this function space $\mathcal{D}^\alpha_{\beta,\lambda}$ , several equivalent characterizations are established. Furthermore, a systematic and in-depth study is carried out on the Volterra integral operator $T_g$ acting on $\mathcal{D}^\alpha_{\beta,\lambda}$ , and detailed analyses of its boundedness, compactness, operator norm, essential norm, and strict singularity are included.

How to Cite this Article:
X. Zhu, D. Nan, Volterra integral operator on $\alpha$ -Dirichlet-Morrey spaces, J. Nonlinear Var. Anal. 10 (2026), 1145-1162.