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Characterization of Temperatures Associated to Schrödinger Operators with Initial Data in Morrey Spaces

Characterization of Temperatures Associated to Schrödinger Operators with Initial Data in Morrey Spaces

Let $\mathcal{L}$ be a Schrödinger operator of the form $\mathcal{L} = -\Delta + V$ acting on $L^2(\mathbb{R}^n)$ where the nonnegative potential $V$ belongs to the reverse Hölder class $B_q$ for some $q \geq n$. Let $L^{p,\lambda}(\mathbb{R}^{n})$, $0 \leq \lambda \lt n$ denote the Morrey space on $\mathbb{R}^{n}$. In this paper, …