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Variation of a complex charge


Active member
Nov 3, 2013
Let (X,R) be a measure space. \(\displaystyle v=u_{1}+iu_{2}\) be a complex charge. Find the variation of v when \(\displaystyle u_{1}, u_{2}\) are positive disjunctive charges.

Does disjunctive charges mean that there is a partition A, B of X such that \(\displaystyle u_{1}(A)= u_{2}(B)=0\)?