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"On the maximum modulus principle and the identity theorem in arbitrary dimension"
Carpathian Journal of Mathematics
"We prove an identity theorem for Gˆateaux holomorphic functions on polygonally connected 2- open sets, which yields a very general maximum norm principle and a sublinear "max-min" principle. All results apply in particular to vector-valued functions which are holomorphic (in any sense that implies Gˆateaux holomorphy) on domains in Hausdorff locally convex spaces."doi:10.37193/cjm.2022.02.20 fatcat:zrwov6ts2bezplry3wvryjicrq