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On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten class operator in terms of averaging functions and Berezin transforms. 2000 Mathematics Subject Classification. Primary 47B35, Secondary 31B05.doi:10.4064/sm189-1-6 fatcat:2hhddyq5sfc5nhjy4cnmzo5m2y