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Toeplitz operators on doubling Fock spaces (1508.02887v1)
Published 12 Aug 2015 in math.CV and math.OA
Abstract: We study Toeplitz operator theory on the doubling Fock spaces, which are Fock spaces whose exponential weight is associated to a subharmonic function with doubling Riesz measure. Namely, we characterize the boundedness, compactness and membership in the Schatten class of Toeplitz operators on doubling Fock spaces whose symbol is a positive Radon measure.