2020/96/3-4 (5)
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DOI: 10.5486/PMD.2020.8620
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pp. 347-361
Multilinear strong maximal operators on weighted mixed norm spaces
Abstract:
We define the multiple weight classes $A_{\vec{p}}(A_{\vec{q}})$ and $A_{\vec{p},r}(A_{\vec{q},s})$, and we prove some norm inequalities for multilinear strong maximal operators and multilinear fractional strong maximal operators on weighted mixed norm spaces.
Keywords: multilinear strong maximal operator, fractional strong maximal operator, mixed norm spaces, $A_p (A_q )$ weights, $A_p ; r(A_q ; s)$ weights
Mathematics Subject Classification: 42B25, 47G10