Add to ORKGThis paper is a resume of the paper "Boundedness of spectral multipliers for Schrödinger operators on open sets " by Iwabuchi, Matsuyama and Taniguchi. The purpose is to overview the results in the paper, namely, L^{p}-estimates and gradient estimates for functions of Schrödinger operators on an arbitrary open set of d-dimensional Euclidean space
"Harmonic Analysis and Nonlinear Partial Differential Equations". June 30～July 2, 2014. edited by Hi...
AbstractWe consider Sobolev spaces weighted by means of powers of the distance function, analyse the...
AbstractLet γ be the Gauss measure on Rd and L the Ornstein–Uhlenbeck operator. For every p in [1,∞)...
"Harmonic Analysis and Nonlinear Partial Differential Equations". July 6～8, 2015. edited by Hideo Ku...
Necessary and sufficient conditions are presented for a positive measure to be the spectral measure ...
This paper is devoted to establishing several types of $L^p$-boundedness of wave operators $W_\pm=W_...
AbstractLet H(λ)=−Δ+λb be a discrete Schrödinger operator on ℓ2(Zd) with a potential b and a non-neg...
summary:We consider a Schrödinger-type differential expression $H_V=\nabla^*\nabla+V$, where $\nabla...
AbstractIn this paper we investigate the spectrum and the spectral singularities of an operator L ge...
Given a potential $V$ and the associated Schrödinger operator -Δ+$V$, we consider the problem of pro...
Let $H_V = - \\Delta +V$ be a Schr\\"odinger operator on an arbitrary open set $\\Omega \\subset \\m...
AbstractThe Schur sufficiency condition for boundedness of any integral operator with non-negative k...
AbstractAn operator means a bounded linear operator on a Hilbert space H. We obtained the basic prop...
AbstractWe recover for discrete Schrödinger operators on the lattice Z, stronger analogues of the re...
AbstractWe consider the Schrödinger operator H=−Δ2+q in a bounded domain D in Rd, d≥3, with q in the...
"Harmonic Analysis and Nonlinear Partial Differential Equations". June 30～July 2, 2014. edited by Hi...
AbstractWe consider Sobolev spaces weighted by means of powers of the distance function, analyse the...
AbstractLet γ be the Gauss measure on Rd and L the Ornstein–Uhlenbeck operator. For every p in [1,∞)...
"Harmonic Analysis and Nonlinear Partial Differential Equations". July 6～8, 2015. edited by Hideo Ku...
Necessary and sufficient conditions are presented for a positive measure to be the spectral measure ...
This paper is devoted to establishing several types of $L^p$-boundedness of wave operators $W_\pm=W_...
AbstractLet H(λ)=−Δ+λb be a discrete Schrödinger operator on ℓ2(Zd) with a potential b and a non-neg...
summary:We consider a Schrödinger-type differential expression $H_V=\nabla^*\nabla+V$, where $\nabla...
AbstractIn this paper we investigate the spectrum and the spectral singularities of an operator L ge...
Given a potential $V$ and the associated Schrödinger operator -Δ+$V$, we consider the problem of pro...
Let $H_V = - \\Delta +V$ be a Schr\\"odinger operator on an arbitrary open set $\\Omega \\subset \\m...
AbstractThe Schur sufficiency condition for boundedness of any integral operator with non-negative k...
AbstractAn operator means a bounded linear operator on a Hilbert space H. We obtained the basic prop...
AbstractWe recover for discrete Schrödinger operators on the lattice Z, stronger analogues of the re...
AbstractWe consider the Schrödinger operator H=−Δ2+q in a bounded domain D in Rd, d≥3, with q in the...
"Harmonic Analysis and Nonlinear Partial Differential Equations". June 30～July 2, 2014. edited by Hi...
AbstractWe consider Sobolev spaces weighted by means of powers of the distance function, analyse the...
AbstractLet γ be the Gauss measure on Rd and L the Ornstein–Uhlenbeck operator. For every p in [1,∞)...