# A STUDY ON CARLESON MEASURES WITH RESPECT TO GENERAL APPROACH REGIONS

Suh, Choon-Serk

• Published : 2002.01.01
• 39 10

#### Abstract

In this paper we first introduce a space of homogeneous type X, and we consider a kind of generalized upper half-space X $\times$ (0, $\infty$). We are mainly concerned with some inequalities in terms of Carleson measures or in terms of certain maximal operators with respect to general approach regions in X $\times$ (0, $\infty$). The main tool of the proof is the Whitney decomposition.

#### Keywords

space of homogeneous type;tent space;($\Omega$, ${\beta}$)-Carleson measure;Whitney decomposition

#### References

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