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Keywords:
Fock space; variable exponent Lebesgue space; Bergman projection
Fock space; variable exponent Lebesgue space; Bergman projection
Summary:
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.
References:
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