Jiao Chen

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math.CA2025

A compact $T 1$ theorem for CalderÃ³n-Zygmund operators associated with Zygmund dilations

Mingming Cao, Jiao Chen, Zhengyang Li +3

We develop a compact version of $T 1$ theorem for singular integrals of Zygmund type on $R^{3}$ . More specifically, if a $(D_{I^} ¸, I^´_{1}, I^´_{2, 3})$ -CalderÃ³n-Zygmund operator…

math.CA2024

A sharp HÃ¶rmander condition for bilinear Fourier multipliers with Lipschitz singularities

Jiao Chen, Martin Hsu, Fred Yu-Hsiang Lin

This paper studies the $L^{p}$ boundedness of bilinear Fourier multipliers in the local $L^{2}$ range. We assume a HÃ¶rmander condition relative to a singular set that is a finite…

A compact T1 theorem for CalderÃ³n-Zygmund operators associated with Zygmund dilations

A sharp HÃ¶rmander condition for bilinear Fourier multipliers with Lipschitz singularities

A compact $T 1$ theorem for CalderÃ³n-Zygmund operators associated with Zygmund dilations