Boundedness for commutators of Littlewood-Paley operators on some hardy spaces

L. Lanzhe

Hunan University

Abstract: In the present paper the $(H_b^p,L^p)$-type and $(H_b^{p,\infty},L^{p,\infty})$-type boundedness for the commutators associated with the Littlewood-Paley operators and $b\in BMO(R^n)$ are obtained, where $H^p_b$ and $H_b^{p,\infty}$ are, respectively, variants of the standard Hardy spaces and weak Hardy spaces, and $n/(n+\varepsilon)<p\leq 1$.

Keywords: Littlewood-Paley operator, Commutator, $BMO(R^n)$, Hardy space, Weak Hardy space.

Submitted by: F. G. Avkhadiev
Received: 13.10.2002

Language: English

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