##  [Carleson Measure](/index.php/carleson-measure) 

  ##  [Carleson Measure](https://puremath.quantumdictionary.io/carleson-measure-0) 

  

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Definition

A measure μ on a domain (often the upper half-space or unit disk) satisfying a Carleson condition: for boundary cubes or arcs Q the measure of the associated Carleson region (tent or Whitney region) is bounded by C|Q|; this condition characterizes trace, embedding, and boundary behavior of harmonic and holomorphic function spaces.