Weighted endpoint estimates for maximal commutators associated with the sections
The authors give endpoint estimates for commutators for a class of singular integral operators related to the real analysis of the Monge-Ampère equation inspired from Caffarelli and others' work. (see \textit{L. Caffarelli} and \textit{C. Gutiérrez} [Trans. Am. Math. Soc. 348, No. 3, 1075--1092 (1996; Zbl 0858.35034); C. E. D'Attellis (ed.) et al., Wavelet theory and harmonic analysis in applied sciences. Based on the 1st Latinamerican conference on mathematics in industry and medicine, Buenos Aires, Argentina, November 27--December 1, 1995. Boston, MA: Birkhäuser. Applied and Numerical Harmonic Analysis. 3--13 (1997; Zbl 0881.35034)] and \textit{C. Gutiérrez} and \textit{Q. Huang} [Trans. Am. Math. Soc. 352, No. 9, 4381--4396 (2000; Zbl 0958.35043)])
scientific article; zbMATH DE number 5816566
scientific article