Quadratic Sparse Domination and Weighted Estimates for Non-integral Square Functions [0.03%]
二次稀疏主导与非整阶平方函数的加权估计
Julian Bailey,Gianmarco Brocchi,Maria Carmen Reguera
Julian Bailey
We prove a quadratic sparse domination result for general non-integral square functions S. That is, for p 0 ∈ [ 1 , 2 ) and q 0 ∈ ( 2 , ∞ ] , we prove an estimate of the form where q 0 ∗ is the Hölder conju...
Nujood M Alshehri,Zinaida A Lykova
Nujood M Alshehri
In this paper, we prove a Schwarz lemma for the pentablock. The pentablock P is defined by P = { ( a 21 , tr A , det A ) : A = [ a ij ] i , j = 1 2 ∈ B 2 × 2 } where B 2 × 2 denotes the open unit ball in the sp...
Flows of Conformally Coclosed [Formula: see text] -Structures with Dilaton [0.03%]
具位势的共形拟余闭[f0fc][ Formula ]结构的流
Spiro Karigiannis,Sébastien Picard,Caleb Suan
Spiro Karigiannis
We study flows of G 2 -structures guided by the principle of dimensional reduction: natural geometric flows in G 2 -geometry reduce to natural flows in complex geometry. Our main examples are the G 2 -Laplacian coflow, which lifts the K...
Kähler-Einstein Metrics [0.03%]
凯勒-爱因斯坦度量
Friedrich Haslinger
Friedrich Haslinger
We recall a simple formula for a Kähler-Einstein metric on the unit ball and on the Siegel upper half space, both together with real holomorphic vector fields and consider generalized complex ellipsoids in C n and show that the logarithm...
Vladimir Lotoreichik,Léo Morin
Vladimir Lotoreichik
This paper aims to show that, in the limit of strong magnetic fields, the optimal domains for eigenvalues of magnetic Laplacians tend to exhibit symmetry. We establish several asymptotic bounds on magnetic eigenvalues to support this conclu...
Barbara Drinovec Drnovšek,Jure Kališnik
Barbara Drinovec Drnovšek
Given a smooth, open, oriented surface X endowed with a family of complex structures { J b } b ∈ B depending continuously on the parameter b in a metrisable space B, we construct a continuous family of proper holomorphic maps F b ...
Distributional Sectional Curvature Bounds for Riemannian Metrics of Low Regularity [0.03%]
低正则性黎曼度量的分布 sectional 曲率界
Darius Erös,Michael Kunzinger,Argam Ohanyan et al.
Darius Erös et al.
Sectional curvature bounds are of central importance in the study of Riemannian manifolds, both in smooth differential geometry and in the generalized synthetic setting of Alexandrov spaces. Riemannian metrics along with metric spaces of bo...
Rafael B Andrist,Gaofeng Huang
Rafael B Andrist
We show that the direct product of two Stein manifolds with the Hamiltonian density property enjoys the Hamiltonian density property as well. We investigate the relation between the Hamiltonian density property and the symplectic density pr...
Pólya-Szegő Inequalities on Submanifolds with Small Total Mean Curvature [0.03%]
小总平均曲率子流形上的Pólya-Szegő不等式
Pietro Aldrigo,Zoltán M Balogh
Pietro Aldrigo
We establish Pólya-Szegő-type inequalities (PSIs) for Sobolev-functions defined on a regular n-dimensional submanifold Σ (possibly with boundary) of a ( n + m ) -dimensional Euclidean space, under explicit upper bounds of the total ...
Ray Transform of Symmetric Tensor Fields on Riemannian Manifolds with Conjugate Points [0.03%]
具有一对共轭点的黎曼流形上对称张量场的射线变换
Sean Holman,Venkateswaran P Krishnan
Sean Holman
In this article, we study the microlocal properties of the geodesic ray transform of symmetric m-tensor fields on 2-dimensional Riemannian manifolds with boundary allowing the possibility of conjugate points. As is known from an earlier wor...