On Pointwise Convergence for Schrödinger Operator in a Convex Domain
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-018-09658-6
Abstract: In this paper, we prove that the maximal inequality $$\begin{aligned} \big \Vert \sup _{|t|12 with $$\Omega =\{(x,y)\in \mathbb {R}^2\mid x>0\}$$Ω={(x,y)∈R2∣x>0} and $$\Delta _D=\partial _x^2+(1+x)\partial _y^2$$ΔD=∂x2+(1+x)∂y2. As a direct application, we obtain the pointwise convergence for… read more here.
Keywords: vert; schr dinger; convex domain; pointwise convergence ... See more keywords
Quasicontinuous functions and the topology of pointwise convergence
Sign Up to like & getrecommendations! Published in 2020 at "Topology and its Applications"
DOI: 10.1016/j.topol.2020.107301
Abstract: Abstract Let X be a Hausdorff topological space and let Q ( X , R ) be the space of all quasicontinuous functions on X with values in R and τ p be the topology… read more here.
Keywords: pointwise convergence; quasicontinuous functions; topology; topology pointwise ... See more keywords