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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In the case (4/3)<p<4, and assuming a pair of locally finite positive Borelmeasures on the real line have no common point masses, we prove two conjecturesof T. Hyt\"onen and E. Vuorinen from 2018 on two weight testing theorems forthe Hilbert transform on weighted L^{p} spaces. Namely, the two weight norminequality holds (1) if and only if the global quadratic interval testingconditions hold, (2) if and only if the local quadratic interval testing, thequadratic Muckenhoupt, and the quadratic weak boundedness conditions all hold.We also give a slight improvement of the second conjecture in this setting byreplacing the quadratic Muckenhoupt conditions with two smaller conditions.

The Hyt\"onen-Vuorinen L^{p} conjecture for the Hilbert transform when (4/3)