Modulation invariant bilinear T(1) theorem
Arpad Benyi, Ciprian Demeter, Andrea R. Nahmod, Christoph M. Thiele,, Rodolfo H. Torres, Francisco Villarroya
TL;DR
This paper establishes a T(1) theorem for bilinear singular integral operators that exhibit one-dimensional modulation symmetry, advancing the theoretical understanding of such operators.
Contribution
It introduces a novel T(1) theorem specifically for bilinear operators with modulation symmetry, filling a gap in harmonic analysis theory.
Findings
Proved a T(1) theorem for bilinear operators with modulation symmetry
Extended the theory of singular integral operators to a new class with modulation invariance
Provided a framework for analyzing bilinear forms with one-dimensional modulation symmetry
Abstract
We prove a T(1) theorem for bilinear singular integral operators (trilinear forms) with a one-dimensional modulation symmetry.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Mathematical Physics Problems · Mathematical Analysis and Transform Methods