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/

Global: Zendy Plus annual

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

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The relation between approach regions and singularities of nonnegative kernels Kt(x,y) is studied, where t E (O,oo), x, y E X, and X is a homogeneous space. For 1 < p < q < oc, a sufficient condition on approach regions Qa (a E X) is given so that the maximal function sup f Kt(x, y)f(y) du(y) (X,t) E aX is weak-type (p, q) with respect to a pair of measures a and w. It is shown that this condition is also necessary for operators of potential type in the sense of Sawyer and Wheedon (Amer. J. Math. 114 (1992), 813-874).

Weighted weak-type inequalities for the maximal function of nonnegative integral transforms over approach regions