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- W2973108462 abstract "We prove that the class of trilinear multiplier forms with singularity over a one dimensional subspace, including the bilinear Hilbert transform, admit bounded $L^p$-extension to triples of intermediate $mathrm{UMD}$ spaces. No other assumption, for instance of Rademacher maximal function type, is made on the triple of $mathrm{UMD}$ spaces. Among the novelties in our analysis is an extension of the phase-space projection technique to the $mathrm{UMD}$-valued setting. This is then employed to obtain appropriate single tree estimates by appealing to the $mathrm{UMD}$-valued bound for bilinear Calderon-Zygmund operators recently obtained by the same authors." @default.
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- W2973108462 date "2019-09-16" @default.
- W2973108462 modified "2023-09-27" @default.
- W2973108462 title "Banach-valued multilinear singular integrals with modulation invariance" @default.
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