
arXiv: 1011.6140
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.
Singular and oscillatory integrals (Calderón-Zygmund, etc.), Mathematics - Classical Analysis and ODEs, 42B15 (Primary) 42B20 (Secondary), paraproduct, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Multipliers for harmonic analysis in several variables, paraproduct ; bilinear multiplier ; bilinear Hilbert transform, bilinear multiplier, bilinear Hilbert transform
Singular and oscillatory integrals (Calderón-Zygmund, etc.), Mathematics - Classical Analysis and ODEs, 42B15 (Primary) 42B20 (Secondary), paraproduct, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Multipliers for harmonic analysis in several variables, paraproduct ; bilinear multiplier ; bilinear Hilbert transform, bilinear multiplier, bilinear Hilbert transform
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