TY - JOUR
T1 - Carleson Measure Associated with the Fractional Heat Semigroup of Schrödinger Operator
AU - Huang , Jizheng
AU - Ying , Shuangshuang
JO - Communications in Mathematical Research 
VL - 2
SP - 191
EP - 213
PY - 2024
DA - 2024/05
SN - 40
DO - http://doi.org/10.4208/cmr.2024-0001
UR - https://global-sci.org/intro/article_detail/cmr/23087.html
KW - Schrödinger operator, reverse Hölder class, Carleson measure, fractional heat semigroup, Campanato spaces.
AB - <p style="text-align: justify;">Let $L=−∆+V$ be a Schrödinger operator, where $∆$ is the Laplacian
on $\mathbb{R}^d$ and the nonnegative potential $V$ belongs to the reverse Hölder class $B_{d/2}.$ In this paper, we define a new version of Carleson measure associated with the
fractional heat semigroup of Schrödinger operator $L.$ We will characterize the
Campanato spaces and the predual spaces of the Hardy spaces by the new
Carleson measure.</p>