PAPER / ARXIV:2609.14023
Xiaolong Han
RESUMO
In this paper, we show that for every p>2, there is an orthonormal basis of spherical harmonics on Sn with n>=2 which achieves the maximal Lp norm growth. More precisely, one basis achieves this growth for all p<=2(n+1)/(n-1), and another for all p>=2(n+1)/(n-1). This extends the results in Han ( arXiv:1404.5016 ) to all dimensions and all p>2, and improves the positive density subsequence there to a whole basis.
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