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Let X be a doubling metric measure space. If X has the δ-annular decay property for some δ∈(0,1], the authors then establish the boundedness of the Lusin-area function, which is defined via kernels modeled on the semigroup generated by the Schrödinger operator, from localized spaces BMOρ(X) to BLOρ(X) without invoking any regularity of considered kernels. The same is true for the gλ⁎ function and...
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