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 study the maximal estimates for the bilinear spherical average and thebilinear Bochner-Riesz operator. Firstly, we obtain $L^p\times L^q \to L^r$estimates for the bilinear spherical maximal function on the optimal range.Thus, we settle the problem which was previously considered by Geba, Greenleaf,Iosevich, Palsson and Sawyer, later Barrionevo, Grafakos, D. He, Honz\'ik andOliveira, and recently Heo, Hong and Yang. Secondly, we consider $L^p\times L^q\to L^r$ estimates for the maximal bilinear Bochner-Riesz operators and improvethe previous known results. For the purpose we draw a connection between themaximal estimates and the square function estimates for the classicalBochner-Riesz operators.

Maximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators