Sharp convergence for sequences of nonelliptic Schrödinger means

2020/11/20 by Li, Wenjuan, Wang, Huiju, Yan, Dunyan
#35S10 #42B20 #42B25 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2011.10160

Abstract

We consider pointwise convergence of nonelliptic Schrödinger means e^it_n\squaref(x) for f ∈ H^s(ℝ²) and decreasing sequences \t_n\_n=1^∞ converging to zero, where e^it_n\square f( x ): = ∫_ℝ² e^i( x ⋅ ξ+ t_n ξ₁ξ₂ )\widehatf ( ξ)dξ. We prove that when 0

Related

• Pointwise Convergence for sequences of Schrödinger means in ℝ²
• Convergence of sequences of Schrödinger means
• Pointwise convergence of sequential Schrödinger means
• Schrödinger means in higher dimensions
• Sharp pointwise convergence of Schrödinger mean with complex time in higher dimensions