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Discrete bilinear operators and commutators (2206.00824v2)
Published 2 Jun 2022 in math.CA and math.AP
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 H\"ormander classes $BS{\omega}_{1, 0}$. In particular, we investigate their relation to discrete analogues of the bilinear Calder\'on-Zygmund singular integral operators and show compactness of their commutators.
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