|||
4.(10分) 设$\mu_1,\mu_2$ 均是 $(\Omega,\mathscr{A})$ 上的概率测度.证明:
[|mu_1-mu_2|(Omega)=2sup_{Ainmathscr{A}}(mu_1(A)-mu_2(A))=2sup_{Ainmathscr{A}}|mu_1(A)-mu_2(A)| ]
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