Discrete Multilinear Spherical Averages. Issue 2 (9th January 2019)

• Record Type: Journal Article
• Authors: Cook, Brian
• Is Part Of: Canadian mathematical bulletin =. Volume 62:Issue 2(2019)
• Page Start: 243
• Page End: 246
• Publication Date: 2019-01-09
• Subjects: 11L07, -- 42B25; discrete maximal function, -- multilinear average; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.4153/CMB-2018-034-2
• Languages: English
• ISSNs: 0008-4395

Abstract

Abstract: In this note we give a characterization of $\ell ^{p}\times \cdots \times \ell ^{p}\rightarrow \ell ^{q}$ boundedness of maximal operators associated with multilinear convolution averages over spheres in $\mathbb{Z}^{n}$ .