2019/08/29 by Junqiang Zhang, Dachun Yang, Zhang, Junqiang +1
Mathematics · #42B20 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Primary 42B25 #Secondary 35J10
paper · pdf · doi:10.48550/arxiv.1908.11241
openalex publication_date 2019/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let L:=-\Δ+V be the Schr "odinger operator on \ℝn with\nn\≥ 3, where V is a non-negative potential which belongs to certain\nreverse H "older class RHq(\ℝn) with q\∈ (n/2, ,\∞). In\nthis article, the authors obtain the quantitative weighted boundedness of\nLittlewood--Paley functions gL, SL and gL, ,\λ^\∗, associated\nto L, on weighted Lebesgue spaces Lp(w), where w belongs to the class of\nMuckenhoupt Ap weights adapted to L.\n