Carleson Measure Associated with the Fractional Heat Semigroup of Schrödinger Operator
DOI:
https://doi.org/10.4208/cmr.2024-0001Keywords:
Schrödinger operator, reverse Hölder class, Carleson measure, fractional heat semigroup, Campanato spaces.Abstract
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.
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Published
2024-05-08
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