Sharp Cheeger-Buser Type Inequalities in [Formula: see text] Spaces [0.03%]
带公式空间中的Sharp Cheeger-Buser型不等式
Nicolò De Ponti,Andrea Mondino
Nicolò De Ponti
The goal of the paper is to sharpen and generalise bounds involving Cheeger's isoperimetric constant h and the first eigenvalue λ 1 of the Laplacian. A celebrated lower bound of λ 1 in terms of h, λ 1 ≥ h 2 / 4 , wa...
Michael Reiter
Michael Reiter
The reflection map introduced by D'Angelo is applied to deduce simpler descriptions of nondegeneracy conditions for sphere maps and to the study of infinitesimal deformations of sphere maps. It is shown that the dimension of the space of in...
A Phragmén-Lindelöf Theorem via Proximate Orders, and the Propagation of Asymptotics [0.03%]
利用近阶的Phragmén-Lindelöf定理及渐近性质的传播性
Javier Jiménez-Garrido,Javier Sanz,Gerhard Schindl
Javier Jiménez-Garrido
We prove that, for asymptotically bounded holomorphic functions in a sector in C , an asymptotic expansion in a single direction towards the vertex with constraints in terms of a logarithmically convex sequence admitting a nonzero proximat...
Stefan Fürdös
Stefan Fürdös
In this article, the notion of ultradifferentiable CR manifold is introduced and an ultradifferentiable regularity result for finitely nondegenerate CR mappings is proven. Here, ultradifferentiable means with respect to Denjoy-Carleman clas...
Shantanu Dave,Stefan Haller
Shantanu Dave
The short-time heat kernel expansion of elliptic operators provides a link between local and global features of classical geometries. For many geometric structures related to (non-)involutive distributions, the natural differential operator...
Volker Branding
Volker Branding
Motivated from the action functional for bosonic strings with extrinsic curvature term we introduce an action functional for maps between Riemannian manifolds that interpolates between the actions for harmonic and biharmonic maps. Critical ...
Clara L Aldana,Julie Rowlett
Clara L Aldana
We consider finite area convex Euclidean circular sectors. We prove a variational Polyakov formula which shows how the zeta-regularized determinant of the Laplacian varies with respect to the opening angle. Varying the angle corresponds to ...
Medial Axis and Singularities [0.03%]
中轴与奇点
Lev Birbrair,Maciej P Denkowski
Lev Birbrair
This paper is devoted to the study of the medial axes of sets definable in polynomially bounded o-minimal structures, i.e. the sets of points with more than one closest point with respect to the Euclidean distance. Our point of view is that...
Arkadiusz Lewandowski
Arkadiusz Lewandowski
We prove that given a family ( G t ) of strictly pseudoconvex domains varying in C 2 topology on domains, there exists a continuously varying family of peak functions h t , ζ for all G t at every ζ ∈ ∂ G t . ...
Tim Steger,Bartosz Trojan
Tim Steger
For the natural two-parameter filtration F λ : λ ∈ P on the boundary of a triangle building, we define a maximal function and a square function and show their boundedness on L p ( Ω 0 ) for p ∈ ( 1 , ∞...