It would be helpful if there is a sandwich theorem for lebesgue integreal. Does it exist?(adsbygoogle = window.adsbygoogle || []).push({});

Ie. if fn<=hn<=gn on measure space (X,S,u) and fn and hn are integreable and measurable , then

g must also be in L1.

A related claim is that if fn-> f and hn->h, does gn also necessarily converge to some g?

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# Sandwich theorem for lebesgue integral

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