Abstract
Let [Formula: see text] be a function in the complex Sobolev space [Formula: see text], where [Formula: see text] is an open subset in [Formula: see text]. We show that the complement of the set of Lebesgue points of [Formula: see text] is pluripolar. The key ingredient in our approach is to show that [Formula: see text] for [Formula: see text] is locally bounded from above by a plurisubharmonic function.
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