Weighted inequalities of bilinear rough singular integrals
Peng Chen, Danqing He, Liang Song
TL;DR
This paper proves a quantitative weighted inequality for bilinear rough singular integrals, showing the bound depends cubically on the weight constant, advancing understanding of weighted bounds in harmonic analysis.
Contribution
It introduces a new weighted inequality for bilinear rough singular integrals with a cubic dependence on the weight constant.
Findings
Bound controlled by the cube of the weight constant
Advances weighted inequality theory for bilinear rough singular integrals
Provides a quantitative estimate for these operators
Abstract
We establish a quantitative weighted inequality for the bilinear rough singular integral, where the bound is controlled by the cube of the weight constant.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Approximation and Integration · Mathematical Analysis and Transform Methods