We present high resolution submillimeter interferometric imaging of two of the brightest high-redshift submillimeter galaxies known: GN20 and AzTEC1 at 0.8 and 0.3 arcsec resolution respectively. Our data - the highest resolution submillimeter imaging of high redshift sources accomplished to date - was collected in three different array configurations: compact, extended, and very extended. We derive angular sizes of 0.6 and 1.0 arcsec for GN20 and 0.3 and 0.4 arcsec for AzTEC1 from modeling their visibility functions as a Gaussian and elliptical disk respectively. Because both sources are B-band dropouts, they likely lie within a relatively narrow redshift window around z~4, which indicates their angular extent corresponds to physical scales of 4-8 and 1.5-3 kpc respectively for the starburst region. By way of a series of simple assumptions, we find preliminary evidence that these hyperluminous starbursts - with star formation rates >1000 $M_odot$ yr$^{-1}$ - are radiating at or close to their Eddington limit. Should future high resolution observations indicate that these two objects are typical of a population of high redshift Eddington-limited starbursts, this could have important consequences for models of star formation and feedback in extreme environments.
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