Czechoslovak Mathematical Journal, first online, pp. 1-18
Variable exponent Fock spaces
Gerardo R. Chacón, Gerardo A. Chacón
Received April 23, 2018. Published online November 18, 2019.
Abstract: 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.
Affiliations: Gerardo R. Chacón (corresponding author), Gallaudet University, Department of Science, Technology and Mathematics, 800 Florida Ave NE, Washington, DC 20002, USA, e-mail: firstname.lastname@example.org; Gerardo A. Chacón, Doctorado en Educación Matemática, Universidad Antonio Nariño, Bogotá, Colombia, e-mail: email@example.com