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Volterra type operators on growth Fock spaces

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Abstract

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

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Correspondence to Evgueni Doubtsov.

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Evgueni Doubtsov was partially supported by RFBR (Grant No. 14-01-00198-a).

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Abakumov, E., Doubtsov, E. Volterra type operators on growth Fock spaces. Arch. Math. 108, 383–393 (2017). https://doi.org/10.1007/s00013-016-1007-y

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