发表机构
Indian Institute of Engineering Science and Technology, Shibpur; Jadavpur University（印度理工学院希布普尔分校; 贾达普大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究狄利克雷级数Hardy空间上加权复合算子的数值域，给出其包含零及圆形、椭圆形圆盘的条件，结合不变子空间确定可约算子的数值域，还探讨了复合算子的Davis-Wielandt壳相关问题。
AI 中文摘要
本文研究狄利克雷级数的Hardy空间上加权复合算子的数值域的相关结果，给出数值域包含零以及某些圆形或椭圆形圆盘的条件；借助该算子的不变子空间，确定此空间上可约加权复合算子的数值域；此外，还讨论复合算子的Davis-Wielandt壳的相关结果及由研究发现引出的若干自然问题。
英文摘要
In this paper, we study various results on numerical range of weighted composition operators on Hardy space of Dirichlet series. Certain conditions are provided under which the numerical range contains zero and some circular or elliptic disks. With the help of invariant subspaces of the operator, we also determine the numerical range of reductive weighted composition operators on this space. Additionally, we discuss some results on the Davis-Wielandt shell of composition operators with some natural questions that arise from our findings.
