L. Lanzhe

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

(Lobachevskii Journal of Mathematics, Volume XII)

In the present paper the ( (H^p_b,L^p)-type and (H^p,∞_b,L^p,∞)-type boundedness for the commutators associated with the Littlewood-Paley operators and b ∈BMO(Rⁿ) are obtained, where H^p_b and H^p,∞ are, respectively, variants of the standard Hardy spaces and weak Hardy spaces, and n/(n+ε) < p ≤ 1.

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