TY - JOUR
T1 - A Note on the Convergence of the Schrödinger Operator along Curve
AU - Li , Junfeng
AU - Wang , Jun
JO - Analysis in Theory and Applications
VL - 3
SP - 330
EP - 346
PY - 2021
DA - 2021/09
SN - 37
DO - http://doi.org/10.4208/ata.2021.lu80.04
UR - https://global-sci.org/intro/article_detail/ata/19878.html
KW - Refinement of the Carleson problem, disconvergence set, fractional Schrödinger operator, Hausdorff dimension, Sobolev space.
AB - <p style="text-align: justify;">In this paper we set up a convergence property for the fractional Schödinger operator for $0&lt;a&lt;1$. Moreover, we extend the known results to non-tangent convergence and the convergence along Lipschitz curves.</p>