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We prove a new 3G-Theorem for the Laplace Green function G on an arbitrary Jordan domain D in R 2 . This theorem extends the recent one proved on a Dini-smooth Jordan domain. 2000 Mathematics Subject Classification: 35J10, 31B05.doi:10.4064/cm101-1-1 fatcat:garxlulcwrbxfmowr6jq47k64a