Nonhomogeneous T(1) Theorem on Product Quasimetric Spaces

Abstract

In this paper, we provide a non-homogeneous T(1) theorem on product spaces (X1 × X2, 1 × 2, μ1 × μ2) equipped with a quasimetric 1 × 2 and a Borel measure μ1 × μ2, which, need not be doubling but satisfies an upper control on the size of quasiballs.

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