Geodesic
Discrete Multilinear Spherical Averages
Canadian mathematical bulletin, Tome 62 (2019) no. 2, pp. 243-246

Voir la notice de l'article provenant de la source Cambridge University Press

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 $\mathbb{Z}^{n}$.
DOI : 10.4153/CMB-2018-034-2
Mots-clés : discrete maximal function, multilinear average 
Cook, Brian. Discrete Multilinear Spherical Averages. Canadian mathematical bulletin, Tome 62 (2019) no. 2, pp. 243-246. doi: 10.4153/CMB-2018-034-2
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[1] Bourgain, J., On 𝛬(p)-subsets of squares . Israel J. Math. 67(1989), no. 3, 291–311. . Google Scholar | DOI

[2] Henriot, K. and Hughes, K., Discrete restriction estimates of 𝜀-removal type for kth-powers and k-paraboloids . Math. Ann., to appear. Google Scholar

[3] Magyar, Á., Stein, E., and Wainger, S., Discrete analogues in harmonic analysis: spherical averages . Ann. of Math. 155(2002), 189–208. . Google Scholar | DOI

[4] Oberlin, D. M., A multilinear Young’s inequality . Canad. Math. Bull. 31(1988), no. 3, 380–384. . Google Scholar | DOI

[5] Oberlin, D. M., Multilinear convolutions defined by measures on spheres . Trans. Amer. Math. Soc. 310(1988), no. 2, 821–835. . Google Scholar | DOI

[6] Wooley, T., Discrete Fourier restriction via efficient congruencing . Int. Math. Res. Not.(2017), no. 5, 1342–1389. . Google Scholar | DOI

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