Abstract
We show that if u is a plurisubharmonic function defined on an open subset Ω of ℂ2 then the Monge-Ampère measure (dd cu)2 can be well defined if and only if u belongs to the Sobolev space W 1,2 loc (Ω).
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Partially supported by KBN Grant #2 P03A 028 19
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Błocki, Z. On the definition of the Monge-Ampère operator in ℂ2 . Math. Ann. 328, 415–423 (2004). https://doi.org/10.1007/s00208-003-0491-0
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DOI: https://doi.org/10.1007/s00208-003-0491-0