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- W4296571723 abstract "We extend the local non-homogeneous Tb theorem of Nazarov, Treil and Volberg to the setting of singular integrals with operator-valued kernel that act on vector-valued functions. Here, `vector-valued' means `taking values in a function lattice with the UMD (unconditional martingale differences) property'. A similar extension (but for general UMD spaces rather than UMD lattices) of Nazarov-Treil-Volberg's global non-homogeneous Tb theorem was achieved earlier by the first author, and it has found applications in the work of Mayboroda and Volberg on square-functions and rectifiability. Our local version requires several elaborations of the previous techniques, and raises new questions about the limits of the vector-valued theory." @default.
- W4296571723 created "2022-09-21" @default.
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- W4296571723 date "2012-01-03" @default.
- W4296571723 modified "2023-09-24" @default.
- W4296571723 title "The local non-homogeneous Tb theorem for vector-valued functions" @default.
- W4296571723 doi "https://doi.org/10.48550/arxiv.1201.0648" @default.
- W4296571723 hasPublicationYear "2012" @default.
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