Banach-Valued Multilinear Singular Integrals with Modulation Invariance

We prove that the class of trilinear multiplier forms with singularity over a one-dimensional subspace, including the bilinear Hilbert transform, admits bounded L p-extension to triples of intermediate operatorname UMD spaces. No other assumption, for instance of Rademacher maximal function type, is...

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Bibliographic Details
Main Authors: Di Plinio, F. (Author), Li, K. (Author), Martikainen, H. (Author), Vuorinen, E. (Author)
Format: Article
Language:English
Published: Oxford University Press 2022
Online Access:View Fulltext in Publisher