Variable exponent Fock spaces

Chacón, Gerardo R.   ; Chacón, Gerardo A.

Czechoslovak Mathematical Journal, Tome 70 (2020) no. 1, pp. 187-204

Abstract (VO)

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.

Détail

DOI : 10.21136/CMJ.2019.0205-18

Classification : 30H20, 46E30
Keywords: Fock space; variable exponent Lebesgue space; Bergman projection

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