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Weighted Leibniz-type rules for bilinear flag multipliers. (English) Zbl 1469.42020

Summary: We establish Leibniz type rules for bilinear flag multipliers with limited regularity in the Lebesgue spaces with flag weights. As applications, we obtain flag fractional Leibniz rules with weights, smoothing properties of bilinear flag fractional integrals, and scattering properties for solutions to a certain system of PDEs. Our results appear to be new even in the unweighted case.

MSC:

42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B15 Multipliers for harmonic analysis in several variables
47G99 Integral, integro-differential, and pseudodifferential operators
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