Vector-valued non-homogeneous Tb theorem on metric measure spaces

Mathematics – Functional Analysis

Scientific paper

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31 pages

Scientific paper

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.

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