On an integral operator on the unit ball in
By S. Stević. 2005
113 citations recorded by the source corpus.
Let denote the space of all holomorphic functions on the unit ball. In this paper, we investigate the integral operator,,, where and is the radial derivative of. The operator can be considered as an extension of the Cesàro operator on the unit disk. The boundedness of the operator on-Bloch spaces is considered.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/0649705c17731686ff0c11afcfe41902c7b39e21
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In Applied Mathematics
- Songxiao Li
- S. Stević
- Flavia Colonna
- Robert F. Allen
- Steven G. Krantz
- Weifeng Yang
- Dinggui Gu
- Xiaohong Fu
In Geometry and Topology
Citations in the corpus
- Products of integral-type operators and composition operators between Bloch-type spaces (2009, background): “The operators J g and I g , as well as their n-dimensional generalizations, acting on various spaces of analytic functions, have been recently studied, for example, in [1,4,5,12–18,20,21,26,29–33] (see also the related references therein).”
- GENERALIZED COMPOSITION OPERATORS ON ZYGMUND SPACES AND BLOCH TYPE SPACES (2008, background): “Some characterizations of the boundedness and compactness of the composition operator, as well as Volterra type operator, on the Bloch type space and the Zygmund space can be found in [2,6,8–10,13–15].”
- Riemann–Stieltjes-type integral operators on the unit ball in (2007, methodology): “Motivated by articles [8,17,18], here we give a comprehensive investigation of the boundedness and compactness of the operators Tg and Ig between Bloch type spaces.”