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arXiv · 2101.04254

Nonhomogeneous $T(1)$ Theorem on Product Quasimetric Spaces

Ji Li·Trang T. T. Nguyen·Lesley A. Ward·Brett D. Wick
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Abstract

In this paper, we provide a non-homogeneous $T(1)$ theorem on product spaces $(X_1 \times X_2, \rho_1 \times \rho_2, \mu_1 \times \mu_2)$ equipped with a quasimetric $\rho_1 \times \rho_2$ and a Borel measure $\mu_1 \times \mu_2$, which, need not be doubling but satisfies an upper control on the size of quasiballs.

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Ji Li, Trang T. T. Nguyen, Lesley A. Ward, Brett D. Wick. 2021-01-12. Nonhomogeneous $T(1)$ Theorem on Product Quasimetric Spaces. https://arxiv.org/abs/2101.04254

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