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The behaviour on the rays of functions from the Bergman and Fock spaces

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Abstract

In this note we study the behaviour of holomorphic functions from the Bergman and Fock spaces on the rays of the unit disc U and the complex plane ℂ. We obtain conditions on the finiteness of weighted L 2-integrals of those functions along rays.

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Correspondence to Piotr Jakóbczak.

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Jakóbczak, P. The behaviour on the rays of functions from the Bergman and Fock spaces. Rend. Circ. Mat. Palermo 57, 255–263 (2008). https://doi.org/10.1007/s12215-008-0018-3

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  • DOI: https://doi.org/10.1007/s12215-008-0018-3

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