##  [Tonelli's Theorem](/tonellis-theorem) 

  ##  [Tonelli's Theorem](https://puremath.quantumdictionary.io/tonellis-theorem-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A theorem in measure theory ensuring that for a nonnegative measurable function on a product measure space the multiple integral equals each iterated integral, possibly with value +∞, without requiring integrability hypotheses on the function.