スレタイ箱入り無数目を語る部屋35(あほ二人の”アナグマの姿焼き"Part9ｗ)

>>168
荒らしはそれが楽しいんだと思います

[13] arXiv:2609.23236 [pdf, html, other]
A computer-assisted lower bound for Landau's constant
Frank Wikström
Comments: 20 pages
Subjects: Complex Variables (math.CV)
[14] arXiv:2609.22996 [pdf, html, other]
A Demailly-type approximation of singular Finsler metrics
Zhuo Liu
Comments: 10 pages
Subjects: Complex Variables (math.CV)
[15] arXiv:2609.22699 [pdf, html, other]
A Product Principle for Harmonic Schwarz Lemmas: Boxes, Polydiscs, and Metric Geometry
Miljan Knežević, Miodrag Mateljević
Comments: 30 pages
Subjects: Complex Variables (math.CV)
[16] arXiv:2609.22279 [pdf, html, other]
Geometric index theorems for holomorphic foliations and curves
César Camacho, Rudy Rosas
Comments: 25 pages, 1 figure
Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG); Differential Geometry (math.DG); Dynamical Systems (math.DS)
[17] arXiv:2609.24614 (cross-list from math.FA) [pdf, html, other]
Compactness of Toeplitz Operators on the Bergman Space
Guangfu Cao, Li He, Shuqing Zhang
Comments: 29
Subjects: Functional Analysis (math.FA); Complex Variables (math.CV)
[18] arXiv:2609.24610 (cross-list from math.MG) [pdf, html, other]
Quasihyperbolic domains are CAT(2)
Toni Ikonen, Abhishek Pandey
Comments: 39 pages

>>162
Dが群で（左不変）ハール測度が定義されるとして
(C,ΣC,μC)×(D,ΣD,μD)
にも同様の確率測度を定義できるな
A∈C×D
に
μ(A)=∫dμC∫AxdμD=∫μD(Ax)dμC
が存在するAを可測集合およびその測度と定義
f:C→D（何でも）
に対して
Ax={y∈D::(x,y)∈A}
fA={(x,f(x)y)::(x,y)∈A}
と定義すると
fAx={f(x)y∈D::(x,y)∈A}=f(x)Ax
なので
μ(fA)=∫μD(fAx)dμC=∫μD(f(x)Ax)dμC=∫μD(Ax)dμC=μ(A)

ふむふむ、為になる論文w

A Demailly-type approximation of singular Finsler metrics
Zhuo Liu

We establish a Demailly-type approximation theorem for singular
Finsler metrics satisfying the multiple coarse \(L^p\) extension
property on holomorphic vector bundles. As an application,
we obtain a new proof of the fact that the multiple coarse \(L^p\)
extension property characterizes Griffiths positivity,
as shown by Deng--Wang--Zhang--Zhou.

ん～、為になるw

この確率測度を使うと
C^n×Z/nZ
で（C^nは普通の積）
d:C→N:決定番号
が普通の意味で非可測であっても
確率を計算できそう？

A Demailly-type approximation of singular Finsler metrics
Zhuo Liu
We establish a Demailly-type approximation theorem for singular Finsler metrics satisfying the multiple coarse \(L^p\) extension property on holomorphic vector bundles. As an application, we obtain a new proof of the fact that the multiple coarse \(L^p\) extension property characterizes Griffiths positivity, as shown by Deng--Wang--Zhang--Zhou.