New class of multiple weights and new weighted inequalities for multilinear operators

Details New class of multiple weights and new weighted inequalities for multilinear operators New class of multiple weights and new weighted inequalities for multilinear operators

2012-03-13

arxiv.org/abs/1203.2797v3

Mathematics

Functional Analysis

some typos were corrected

Scientific paper

In this paper, we first introduce the new class of multiple weights $A^\vc_{\vec{p}}$ which is larger than the class of multiple weights in \cite{LOPTG}. Then, using this class of weights, we study the weighted norm inequalities for certain classes of multilinear operators and their commutators with new BMO functions introduced by \cite{BHS1}. Finally, we show that some multilinear pseudodifferential operators fall within the scope of the theory obtained in this paper.

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