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A study on Carleson measures with respect to general approach regions

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Abstract

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

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