A note on multilinear Muckenhoupt classes for multiple weights

Songqing Chen; Huoxiong Wu; Qingying Xue

Songqing Chen ; Huoxiong Wu ; Qingying Xue

Studia Mathematica, Tome 223 (2014), p. 1-18 / Harvested from The Polish Digital Mathematics Library

Résumé

This paper is devoted to investigating the properties of multilinear $A_{P ⃗}$ conditions and $A_{(P ⃗, q)}$ conditions, which are suitable for the study of multilinear operators on Lebesgue spaces. Some monotonicity properties of $A_{P ⃗}$ and $A_{(P ⃗, q)}$ classes with respect to P⃗ and q are given, although these classes are not in general monotone with respect to the natural partial order. Equivalent characterizations of multilinear $A_{(P ⃗, q)}$ classes in terms of the linear $A_{p}$ classes are established. These results essentially improve and extend the previous results.

Publié le : 2014-01-01

Zbl 1311.42055

EUDML-ID : urn:eudml:doc:285769

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     title = {A note on multilinear Muckenhoupt classes for multiple weights},
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     volume = {223},
     year = {2014},
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     zbl = {1311.42055},
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Songqing Chen; Huoxiong Wu; Qingying Xue. A note on multilinear Muckenhoupt classes for multiple weights. Studia Mathematica, Tome 223 (2014) pp. 1-18. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm223-1-1/