##  [Lp Space](/lp-space) 

  ##  [Lp Space](https://puremath.quantumdictionary.io/lp-space-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The vector space of equivalence classes of measurable functions on a specified measure space whose pth power is integrable, identified up to equality almost everywhere and equipped with the p-norm ||f||_p = (∫ |f|^p)^{1/p} for 1 ≤ p < ∞ and the essential supremum norm for p = ∞.