Research Article

Associated weights for spaces of p-integrable entire functions

Published in: Quaestiones Mathematicae
Volume 43 , issue 5-6 : Special issue dedicated to the memory of Professor Joe Diestel , 2020 , pages: 747–760

DOI: 10.2989/16073606.2019.1605420

Author(s): José Bonet , Spain , Elisabetta M. Mangino , Italy

Keywords: Primary: 47B33 , Secondary: 46E15 , Primary: 47B33 , Secondary: 46E15

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Abstract

In analogy to the notion of associated weights for weighted spaces of analytic functions with sup-norms, p-associated weights are introduced for spaces of entire p-integrable functions, 1 ≤ p < ∞. As an application, necessary conditions for the boundedness of composition operators acting between general Fock type spaces are proved.

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