Remarks on <i>L</i> <sup> <i>p</i> </sup>-limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems
Remarks on <i>L</i> <sup> <i>p</i> </sup>-limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems
Abstract This paper comprises two parts. We first investigate an <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>L</m:mi> <m:mi>p</m:mi> </m:msup> </m:math> {L^{p}} -type of limiting absorption principle for Schrödinger operators <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>H</m:mi> <m:mo>=</m:mo> <m:mrow> <m:mrow> <m:mo>-</m:mo> <m:mi>Δ</m:mi> </m:mrow> <m:mo>+</m:mo> <m:mi>V</m:mi> </m:mrow> </m:mrow> </m:math> {H=-\Delta+V} on <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>ℝ</m:mi> <m:mi>n</m:mi> </m:msup> </m:math> …