Discrete bilinear operators and commutators

2022/06/02 by Bényi, Árpád, Oh, Tadahiro
#35S05 #42B15 #42B20 #47G30 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2206.00824

Abstract

We discuss boundedness properties of certain classes of discrete bilinear operators that are similar to those of the continuous bilinear pseudodifferential operators with symbols in the Hörmander classes BS^ω_{1, 0}. In particular, we investigate their relation to discrete analogues of the bilinear Calderón-Zygmund singular integral operators and show compactness of their commutators.

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