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

The Anh Bui

doi:10.1515/forum-2012-0084

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

The Anh Bui^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, we first introduce the new class of multiple weights A p → ∞ {A_p} which is larger than the class of multiple weights in [Adv. Math. 220 (2009), 1222-1264]. 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 in [J. Fourier Anal. Appl. 17 (2011), 115-134]. Finally, we show that some multilinear pseudodifferential operators fall within the scope of the theory obtained in this paper.

Original language	English
Pages (from-to)	995-1023
Number of pages	29
Journal	Forum Mathematicum
Volume	27
Issue number	2
DOIs	https://doi.org/10.1515/forum-2012-0084
Publication status	Published - 1 Mar 2015

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

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