Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball

• المؤلفون الرئيسيون: Hu, Bingyang, Khoi, Le Hai
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2022
• الموضوعات: Science::Mathematics; Weighted Spaces; Holomorphic Functions
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/163003
• المؤسسة: Nanyang Technological University

We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of Cn. The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particular, the equivalence of these sets, under some conditions of the weights, is obtained.