试证明下列命题：设 [tex=2.071x1.357]1f4Wyq/DKl1JkV1UemhujQ==[/tex]是 [tex=1.286x1.0]LVtrVoR3luZyUPe3gwSlPw==[/tex] 上的非负可测函数.若存在 [tex=10.143x1.214]GYisOO8VfqxgNawzeb5thskvqco55Z0AIyp0SUNjHwnR5+Fxm7SkRatgMNZiafP0CFXDN5zYF/KZzkIihzOVjA==[/tex], 使得 [tex=11.071x1.357]pFvkWl/+3dg/B/IA0KBS3zmvfeNezQXgCQIuMRXpxz9T131CBoKmYT0QQx8nDnMbvOI2AJgI5UYxLHQVKi3OR+DfdFGLlqO5U45V7meoVQuvsZ0fNYNr/idQ0GlTpeN1[/tex], 则 [tex=4.643x1.5]PHletDsiSb9QqYspSr6d3pcxOS4KXj0JR1qe4scNk8kQVEcmYu7fB4Fj2VaTXWY+[/tex], 其中[tex=5.071x1.357]uMfUzJpFLuyLo07wLw74jv7FKqhZgrShgBZ53Uhjyq8=[/tex].
试证明下列命题：设 [tex=2.071x1.357]1f4Wyq/DKl1JkV1UemhujQ==[/tex]是 [tex=1.286x1.0]LVtrVoR3luZyUPe3gwSlPw==[/tex] 上的非负可测函数.若存在 [tex=10.143x1.214]GYisOO8VfqxgNawzeb5thskvqco55Z0AIyp0SUNjHwnR5+Fxm7SkRatgMNZiafP0CFXDN5zYF/KZzkIihzOVjA==[/tex], 使得 [tex=11.071x1.357]pFvkWl/+3dg/B/IA0KBS3zmvfeNezQXgCQIuMRXpxz9T131CBoKmYT0QQx8nDnMbvOI2AJgI5UYxLHQVKi3OR+DfdFGLlqO5U45V7meoVQuvsZ0fNYNr/idQ0GlTpeN1[/tex], 则 [tex=4.643x1.5]PHletDsiSb9QqYspSr6d3pcxOS4KXj0JR1qe4scNk8kQVEcmYu7fB4Fj2VaTXWY+[/tex], 其中[tex=5.071x1.357]uMfUzJpFLuyLo07wLw74jv7FKqhZgrShgBZ53Uhjyq8=[/tex].
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