论文标题

二元双参数简单换向器和二元小bmo

Dyadic bi-parameter simple commutator and dyadic little BMO

论文作者

Holmes, Irina, Treil, Sergei, Volberg, Alexander

论文摘要

让$ \ bft $是下面定义的简单二元转移的某些张量产品。我们在这里证明,对于Dyadic Bi-参数换向器,以下等价持有$ \ | \ bft B-B-B \ B \ bft \ | \ asymp \ | b \ | _ {bmo^d} $。该结果是许多类型的双参数换向器而众所周知的,请参见\ cite {fs},\ cite {dlwy}和\ cite {dpsk}有关更多详细信息。

Let $\bfT$ is a certain tensor product of simple dyadic shifts defined below. We prove here that for dyadic bi-parameter commutator the following equivalence holds $ \|\bfT b-b \bfT \| \asymp \|b\|_{bmo^d}$. This result is well-known for many types of bi-parameter commutators, see \cite{FS}, \cite{DLWY} and \cite{DPSK} for more details.

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