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arxiv: 1508.02887 · v1 · pith:O7MR3V75new · submitted 2015-08-12 · 🧮 math.CV · math.OA

Toeplitz operators on doubling Fock spaces

classification 🧮 math.CV math.OA
keywords doublingfockspacestoeplitzmeasureoperatorswhoseassociated
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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.

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