We present λ = 3.5 mm continuum observations of the Trapezium Cluster core obtained with the BIMA array with 1.8″ x 1.0″ resolution. Sixteen sources are detected at the 4 σ or greater level within a 45″ radius of field center. Four of these sources are coincident with previously proposed star-disk systems that show centimeter wavelength emission; their millimeter emission is consistent with the extrapolated free-free emission. Three additional sources are near stellar positions from a larger near-infrared survey. The nature of these sources and the remaining nine sources without stellar counterparts is uncertain. Considering the large number of proposed star-disk systems within our field (33) and the even larger number of cluster stars in the field (108), we conclude that massive circumstellar disks are not common in this cluster. Converting our flux limits to mass estimates, we restrict disk masses around individual sources to be ≤ 0.15 solar mass. Statistical analysis of the overall sample of possible sources suggests that the average disk mass is ≤ 0.03 solar mass. These limits are not Sufficiently strict to rule out the possibility that disks in the Trapezium Cluster have a similar mass distribution to those associated with stars forming in isolation or loose aggregates.
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