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
Estimates for torsional rigidity of convex domain via new geometric characteristics
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DOI: 10.13108/2024-16-3-21
Abstract: We introduce new geometric characteristics of a convex domain with finite boundary length and provide an algorithm for calculating them. A series of isoperimetric inequalities between new functionals and known integral characteristics of the domain… read more here.
Keywords: convex domain; new geometric; torsional rigidity; geometric characteristics ... See more keywords
Applications of Integral Geometry to Geometric Properties of Sets in the 3D-Heisenberg Group
Sign Up to like & getrecommendations! Published in 2017 at "Analysis and Geometry in Metric Spaces"
DOI: 10.1515/agms-2016-0020
Abstract: Abstract By studying the group of rigid motions, PSH(1), in the 3D-Heisenberg group H1,we define a density and a measure in the set of horizontal lines. We show that the volume of a convex domain… read more here.
Keywords: applications integral; group; heisenberg group; geometry ... See more keywords