@Article{ATA-37-330,
author = {Li , Junfeng and Wang , Jun},
title = {A Note on the Convergence of the Schrödinger Operator along Curve},
journal = {Analysis in Theory and Applications},
year = {2021},
volume = {37},
number = {3},
pages = {330--346},
abstract = {
In this paper we set up a convergence property for the fractional Schödinger operator for $0<a<1$. Moreover, we extend the known results to non-tangent convergence and the convergence along Lipschitz curves.
},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2021.lu80.04},
url = {http://global-sci.org/intro/article_detail/ata/19878.html}
}
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 -
In this paper we set up a convergence property for the fractional Schödinger operator for $0<a<1$. Moreover, we extend the known results to non-tangent convergence and the convergence along Lipschitz curves.
Li , Junfeng and Wang , Jun. (2021). A Note on the Convergence of the Schrödinger Operator along Curve.
Analysis in Theory and Applications. 37 (3).
330-346.
doi:10.4208/ata.2021.lu80.04
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