@article{65c40f24463944b2a7e9d38946af6769,
title = "Sharp decay estimates in Lorentz spaces for nonnegative Schr{\"o}dinger heat semigroups",
abstract = "Let H:=-δ+V be a nonnegative Schr{\"o}dinger operator on L2(RN), where N≥2 and V be a radially symmetric function decaying quadratically at the space infinity. In this paper we consider the Schr{\"o}dinger heat semigroup e-tH and make a complete table of the decay rates of the operator norms of e-tH in the Lorentz spaces as t→∞.",
keywords = "Lorentz spaces, Quadratically decaying potential, Schr{\"o}dinger heat semigroups",
author = "Norisuke Ioku and Kazuhiro Ishige and Eiji Yanagida",
note = "Funding Information: The second author was supported in part by the Grant-in-Aid for Scientific Research (B) (No. 23340035 ) from Japan Society for the Promotion of Science . The third author was supported in part by Grant-in-Aid for Scientific Research (A) (No. 24244012 ) from Japan Society for the Promotion of Science . Publisher Copyright: {\textcopyright} 2014.",
year = "2015",
month = apr,
day = "1",
doi = "10.1016/j.matpur.2014.09.006",
language = "English",
volume = "103",
pages = "900--923",
journal = "Journal des Mathematiques Pures et Appliquees",
issn = "0021-7824",
publisher = "Elsevier Masson s.r.l.",
number = "4",
}