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Volterra type operators on growth Fock spaces

Complex Variables 2016-11-15 v1

Abstract

Let ω\omega be an unbounded radial weight on Cd\mathbb{C}^d, d1d\ge 1. Using results related to approximation of ω\omega by entire maps, we investigate Volterra type and weighted composition operators defined on the growth space Aω(Cd)\mathcal{A}^\omega(\mathbb{C}^d). Special attention is given to the operators defined on the growth Fock spaces.

Keywords

Cite

@article{arxiv.1611.04101,
  title  = {Volterra type operators on growth Fock spaces},
  author = {Evgeny Abakumov and Evgueni Doubtsov},
  journal= {arXiv preprint arXiv:1611.04101},
  year   = {2016}
}

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9 pages