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Variable exponent Fock spaces

Gerardo R. Chacón, Gerardo A. Chacón (2020)

Czechoslovak Mathematical Journal

We introduce variable exponent Fock spaces and study some of their basic properties such as boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality. We also prove that under the global log-Hölder condition, the variable exponent Fock spaces coincide with the classical ones.

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