Affiliation:
1. School of Mathematics and Statistics, Qingdao University, Qingdao, Shandong 266071, China
Abstract
Let
be a Schrödinger operator on
, where
denotes the Laplace operator
and
is a nonnegative potential belonging to a certain reverse Hölder class
with
. In this paper, by the regularity estimate of the fractional heat kernel related with
, we establish the quantitative weighted boundedness of Littlewood-Paley functions generated by fractional heat semigroups related with the Schrödinger operators.
Funder
Natural Science Foundation of Shandong Province
Cited by
1 articles.
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