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A note on multilinear Muckenhoupt classes for multiple weights

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Chen S., Wu H., Xue Q.

Studia Mathematica

2014

tom 223

nr 1

1-18

This paper is devoted to investigating the properties of multilinear $A_{P⃗}$ conditions and $A_{(P⃗,q)}$ conditions, which are suitable for the study of multilinear operators on Lebesgue spaces. Some monotonicity properties of $A_{P⃗}$ and $A_{(P⃗,q)}$ 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 $A_{(P⃗,q)}$ classes in terms of the linear $A_{p}$ classes are established. These results essentially improve and extend the previous results.

Ograniczanie wyników

1 Studia Mathematica

1 Chen S.

1 Wu H.

1 Xue Q.

1 2014

Wyniki wyszukiwania

A note on multilinear Muckenhoupt classes for multiple weights