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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We announce a local $T(b)$ theorem, an inductive scheme, and $L^p$extrapolation results for $L^2$ square function estimates related to theanalysis of integral operators that act on Ahlfors-David regular sets ofarbitrary codimension in ambient quasi-metric spaces. The inductive scheme is anatural application of the local $T(b)$ theorem and it implies the stability of$L^2$ square function estimates under the so-called big pieces functor. Inparticular, this analysis implies $L^p$ and Hardy space square functionestimates for integral operators on uniformly rectifiable subsets of theEuclidean space.

Square Function Estimates in Spaces of Homogeneous Type and on Uniformly Rectifiable Euclidean Sets