Weak L² bound of the lacunary Carleson operator for the non-linear Fourier transform

2022/10/01 by Mnatsakanyan, Gevorg
#34L40 #42C05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2210.00309

Abstract

We prove the weak L² boundedness of a lacunary maximal function of the SU(1,1)-valued nonlinear Fourier transform if the potential is in L¹.

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