Optimal weak estimates for Riesz potentials

2021/11/02 by Liang Huang, Hanli Tang, Huang, Liang +1
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2111.01442

Abstract

In this note we prove a sharp reverse weak estimate for Riesz potentials ‖I_s(f)‖_{L^{(n)/(n-s),∞}}≥ γ_sv_n^(n-s)/(n)‖f‖_L¹~~for~~0

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