论文标题

离散的双线性操作员和换向器

Discrete bilinear operators and commutators

论文作者

Bényi, Árpád, Oh, Tadahiro

论文摘要

我们讨论了某些类别的分离双线运算符的有界性能,这些属性与连续双线性pseudodifferentic oberators的符号类似于Hörmander类$ bs^ω__{1,0} $。特别是,我们研究了它们与双线性calderón-zygmund单数积分算子的离散类似物的关系,并显示了其换向器的紧凑性。

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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