Revista Matemática Iberoamericana
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Published online: 2012-10-14
Vector-valued non-homogeneous Tb theorem on metric measure spacesHenri Martikainen (1) University of Helsinki, Finland
We prove a vector-valued non-homogeneous Tb theorem on certain quasimetric spaces equipped with what we call an upper doubling measure. Essentially, we merge recent techniques from the domain and range side of things, achieving a Tb theorem which is quite general with respect to both of them.
Keywords: Calderón–Zygmund operator, non-doubling measure, probabilistic constructions in metric spaces, martingale difference, paraproduct
Martikainen Henri: Vector-valued non-homogeneous Tb theorem on metric measure spaces. Rev. Mat. Iberoam. 28 (2012), 961-998. doi: 10.4171/RMI/699