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Revista Matemática Iberoamericana
Article . 2012 . Peer-reviewed
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Article . 2012
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https://dx.doi.org/10.48550/ar...
Article . 2010
License: arXiv Non-Exclusive Distribution
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Boundedness of the twisted paraproduct

Authors: Kovač, Vjekoslav;

Boundedness of the twisted paraproduct

Abstract

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.

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Croatia
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Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
35
Top 10%
Top 10%
Top 10%
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gold