Associated weights for spaces of p-integrable entire functions

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 < 1. As an application, necessary conditions for the boundedness of composition operators acting between general Fock type spaces are proved.

Key words: p-associated weights, Fock type spaces, composition operators.