##  [Besov Space](/index.php/besov-space) 

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

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/index.php/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A family of function spaces B^s_{p,q} characterized by a triplet of indices (smoothness s, integrability p, summability q) defined via differences or frequency decompositions; they interpolate between Sobolev and Hölder scales and encode fine regularity and approximation properties.