Displaying similar documents to “A sharp estimate for bilinear Littlewood-Paley operator.”

Mean Oscillation and Boundedness of Multilinear Integral Operators with General Kernels

Liu Lanzhe (2014)

Archivum Mathematicum

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In this paper, the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces are proved. The integral operators include singular integral operator with general kernel, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.

On the Product of Functions in and 1

Aline Bonami, Tadeusz Iwaniec, Peter Jones, Michel Zinsmeister (2007)

Annales de l’institut Fourier

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The point-wise product of a function of bounded mean oscillation with a function of the Hardy space H 1 is not locally integrable in general. However, in view of the duality between H 1 and B M O , we are able to give a meaning to the product as a Schwartz distribution. Moreover, this distribution can be written as the sum of an integrable function and a distribution in some adapted Hardy-Orlicz space. When dealing with holomorphic functions in the unit disc, the converse is also valid: every...