Yuji Tateishi

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math.AP2020

Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces II

Kazuhiro Ishige, Yujiro Tateishi

Let $H := - Δ + V$ be a nonnegative Schrödinger operator on $L^{2} (R^{N})$ , where $N \geq 2$ and $V$ is a radially symmetric inverse square potential. Let $\|\nabla^αe^{-tH}\|_{(L^{p,σ}…

math.AP2020

Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces

Kazuhiro Ishige, Yujiro Tateishi

Let $H := - Δ + V$ be a nonnegative Schrödinger operator on $L^{2} (R^{N})$ , where $N \geq 2$ and $V$ is an inverse square potential. In this paper we obtain sharp decay estimates of the…