English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In this paper, the multilinear fractional strong maximal operator$\mathcal{M}_{\mathcal{R},\alpha}$ associated with rectangles and correspondingmultiple weights $A_{(\vec{p},q),\mathcal{R}}$ are introduced. Under the dyadicreverse doubling condition, a necessary and sufficient condition for two-weightinequalities is given. As consequences, we first obtain a necessary andsufficient condition for one-weight inequalities. Then, we give a new proof forthe weighted estimates of multilinear fractional maximal operator$\mathcal{M}_\alpha$ associated with cubes and multilinear fractional integraloperator $\mathcal{I}_{\alpha}$, which is quite different and simple from theproof known before.

On multilinear fractional strong maximal operator associated with rectangles and multiple weights