這一篇文章值 7 Ptt幣
看到只有7塊錢
我都快哭了
那我來敘述一下 Lebesgue 版本的 Fubini's theorem好了
Theorem ( Fubini ) :
I=I_1*I_2 in R^n+m
If f(x,y) is Lebesgue integrable on I. Then
(i ) for a.e. x in I_1,f(x,y) is measurable and integrable on I_2 as
a function of y;
(ii) as a function of x,∫_I2 f(x,y) dy is measurable and integrable
on I_1, and (∫∫)_I f(x,y)dxdy =∫_I1∫_I2 f(x,y) dy dx
我就不信這樣還只有一點點P><
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