A DECOMPOSITION INTO ATOMS OF TENT SPACES ASSOCIATED WITH GENERAL APPROACH REGIONS

Abstract

We first introduce a space of homogeneous type X, and develop the theory of the tent spaces on the generalized upper half-space X × (0, ∞). The goal of this paper is to study that every element of the tent spaces T p Ω(X × (0, ∞), 0 < p ≤ 1, can be decomposed into elementary particles which are called "atoms."

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