Recently Lacey extended Chanillo's boundedness result of commutators with fractional integrals to a higher parameter setting. In this paper, we extend Lacey's result to higher dimensional spaces by a different method. Our method is in terms of the dual relationship between product BMO and product Hardy space and the maximal function characterization of product Hardy spaces obtained by S.-Y.Chang and R. Fefferman. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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Volume281, Issue8

August 2008

Pages 1108-1118

Bi-commutators of fractional integrals on product spaces

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Bi-commutators of fractional integrals on product spaces

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