Vector-valued non-homogeneous $Tb$ theorem on metric measure spaces
Copyright policy )Vector-valued non-homogeneous $Tb$ theorem on metric measure spaces
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.
- University of Helsinki Finland
singular integral operator, Singular and oscillatory integrals (Calderón-Zygmund, etc.), Functional Analysis (math.FA), Mathematics - Functional Analysis, Analysis on metric spaces, Spaces of vector- and operator-valued functions, random dyadic cube, Martingales and classical analysis, upper doubling measure, John--Nirenberg inequality, paraproduct, FOS: Mathematics, UMD space, 42B20, 30L99, 46B09, 46E40, 60D05, 60G46
singular integral operator, Singular and oscillatory integrals (Calderón-Zygmund, etc.), Functional Analysis (math.FA), Mathematics - Functional Analysis, Analysis on metric spaces, Spaces of vector- and operator-valued functions, random dyadic cube, Martingales and classical analysis, upper doubling measure, John--Nirenberg inequality, paraproduct, FOS: Mathematics, UMD space, 42B20, 30L99, 46B09, 46E40, 60D05, 60G46
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