Zobrazeno 1 - 10
of 520
pro vyhledávání: '"30F45"'
Autor:
Efraimidis, Iason, Gumenyuk, Pavel
We prove that the sublevel set $\big\{z\in\mathbb D\colon k_{\mathbb D}\big(z,z_0\big)-k_{\mathbb D}\big(f(z),w_0\big)<\mu\big\}$, ${\mu\in\mathbb R}$, is geodesically convex with respect to the Poincar\'e distance $k_{\mathbb D}$ in the unit disk $\
Externí odkaz:
http://arxiv.org/abs/2411.10222
Autor:
Ahammed, Sabir, Ahamed, Molla Basir
In this paper, we first establish an improved Bohr inequality for the class of operator-valued holomorphic functions $f$ on a simply connected domain $\Omega$ in $\mathbb{C}$. Next, we establish a generalization of refined version of the Bohr inequal
Externí odkaz:
http://arxiv.org/abs/2411.04000
Autor:
Allu, Vasudevarao, Jose, Alan P
The purpose of this paper is to provide a uniformization procedure for Gromov hyperbolic spaces, which need not be geodesic or proper. We prove that the conformal deformation of a Gromov hyperbolic space is a bounded uniform space. Further, we show t
Externí odkaz:
http://arxiv.org/abs/2411.00906
Autor:
Bhatnagar, Anjali, Borah, Diganta
We study several intrinsic properties of the Carath\'eodory and Szeg\"o metrics on finitely connected planar domains. Among them are the existence of closed geodesics and geodesic spirals, boundary behaviour of Gaussian curvatures, and $L^2$-cohomolo
Externí odkaz:
http://arxiv.org/abs/2410.20955
We prove that the renormalized Yang-Mills energy on six dimensional Poincar\'e-Einstein spaces can be expressed as the bulk integral of a local, pointwise conformally invariant integrand. We show that the latter agrees with the corresponding anomaly
Externí odkaz:
http://arxiv.org/abs/2409.06995
Autor:
Karpenkov, Oleg, Pratoussevitch, Anna
The construction of the Farey tessellation in the hyperbolic plane starts with a finitely generated group of symmetries of an ideal triangle, i.e. a triangle with all vertices on the boundary. It induces a remarkable fractal structure on the boundary
Externí odkaz:
http://arxiv.org/abs/2409.01621
Autor:
Chen, Gangqiang
Let $\mathcal{H}$ be the class of all analytic self-maps of the open unit disk $\mathbb{D}$. Denote by $H^n f(z)$ the $n$-th order hyperbolic derivative of $f\in \mathcal H$ at $z\in \mathbb{D}$. For $z_0\in \mathbb{D}$ and $\gamma = (\gamma_0, \gamm
Externí odkaz:
http://arxiv.org/abs/2408.04030
Autor:
Karafyllia, Christina
Motivated by the classical bounded H\"{o}lder domains, we introduce the notion of an unbounded simply connected H\"{o}lder domain. We prove analytic and geometric characterizations of those domains with the aid of the spherical metric and the hyperbo
Externí odkaz:
http://arxiv.org/abs/2407.03288
We study the internal dynamics of multiply connected wandering domains of meromorphic functions. We do so by considering the sequence of injectivity radii along the orbit of a base point, together with the hyperbolic distortions along the same orbit.
Externí odkaz:
http://arxiv.org/abs/2405.12165
Autor:
Jiang, Manman, Pan, Huiping
We show that the algebraic intersection form of hyperbolic surfaces of genus $g$ has a minimum in the moduli space and that the minimum grows in the order $(\log g)^{-2}$ in terms of the genus. We also describe the asymptotic behavior of the algebrai
Externí odkaz:
http://arxiv.org/abs/2404.15921