In this paper, we consider convergence properties for generalized Schrödinger operators along tangential curves in $\mathbb{R}^{n} \times \mathbb{R}$ with less smoothness comparing with Lipschitz condition. Firstly, we obtain sharp convergence rate for generalized Schrödinger operators with polynomial growth along tangential curves in $\mathbb{R}^{n} \times \mathbb{R}$, $n \ge 1$. Secondly, we get the convergence result along a family of restricted tangential curves in $\mathbb{R} \times \mathbb{R}$. As a corollary, we obtain the sharp $L^p$-Schrödinger maximal estimates along tangential curves in $\mathbb{R} \times \mathbb{R}$.
Huiju WANG
,
Wenjuan LI
. ON CONVERGENCE PROPERTIES FOR GENERALIZED SCHR ÖDINGER OPERATORS ALONG TANGENTIAL CURVES[J]. Acta mathematica scientia, Series B, 2026
, 46(2)
: 730
-751
.
DOI: 10.1007/s10473-026-0211-5
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