An alternative to Plancherel’s criterion for bilinear operators

Loukas Grafakos

Type: Article

Publication Date: 2019-01-01

Citations: 2

DOI: https://doi.org/10.4064/bc119-9

Abstract

We prove that bilinear operators associated with $L^q$ multipliers with sufficiently many derivatives in $L^\infty $ are bounded from $L^2\times L^2$ to $L^1$ when $q \lt 4$. In the absence of Plancherel’s identity on $L^1$, the range $q \lt 4$ in the bil

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+	Bases in Function Spaces, Sampling, Discrepancy, Numerical integration	2010	Hans Triebel
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+	Rough bilinear singular integrals	2017	Loukas Grafakos Danqing He Petr Honzík