Boundedness of the twisted paraproduct

Kovač, Vjekoslav

doi:10.4171/RMI/707

Revista Matemática Iberoamericana

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Volume 28, Issue 4, 2012, pp. 1143–1164

DOI: 10.4171/RMI/707

Published online: 2012-10-14

Boundedness of the twisted paraproduct

Vjekoslav Kovač^[1]

(1) University of Zagreb, Croatia

We prove $\mathrm{L}^p$ estimates for a two-dimensional bilinear operator of paraproduct type. This result answers a question posed by Demeter and Thiele.

Keywords: Paraproduct, bilinear multiplier, bilinear Hilbert transform

Kovač Vjekoslav: Boundedness of the twisted paraproduct. Rev. Mat. Iberoam. 28 (2012), 1143-1164. doi: 10.4171/RMI/707