Characterizations of BMO through commutators of bilinear singular integral operators

2014/10/16 by Lucas Chaffee, Chaffee, Lucas
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1410.4587

openalex publication_date 2014/10/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we characterize BMO in terms of the boundedness of commutators of various bilinear singular integral operators with pointwise multiplication. In particular, we study commutators of a wide class of bilinear operators of convolution type, including bilinear Calderón-Zygmund operators and the bilinear fractional integral operators.

Citations

• Multilinear Calderón–Zygmund Theory

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