Zobrazeno 1 - 10
of 866
pro vyhledávání: '"30C62"'
Autor:
Krantz, Steven G., Verma, Kaushal
The Wong--Rosay theorem provides a characterization of the unit ball among all strongly pseudoconvex domains in terms of holomorphic automorphism group actions. We explore variants of this theorem in the quasiconformal setting.
Externí odkaz:
http://arxiv.org/abs/2412.06411
Autor:
Luo, Yusheng, Ntalampekos, Dimitrios
The object of the paper is to characterize gasket Julia sets of rational maps that can be uniformized by round gaskets. We restrict to rational maps without critical points on the Julia set. Under these conditions, we prove that a Julia set can be qu
Externí odkaz:
http://arxiv.org/abs/2411.17227
Autor:
Tailiang, Liu, Yuliang, Shen
In this paper, we introduce a class of vanishing Carleson measures with conformal invariance and corresponding strongly vanishing symmetric homeomorphisms on the real line and prove that they can be mutually generated under quasiconformal mappings. T
Externí odkaz:
http://arxiv.org/abs/2411.16042
Autor:
Luo, Yusheng, Ntalampekos, Dimitrios
We study piecewise quasiconformal covering maps of the unit circle. We provide sufficient conditions so that a conjugacy between two such dynamical systems has a quasiconformal or David extension to the unit disk. Our main result generalizes the main
Externí odkaz:
http://arxiv.org/abs/2411.14203
Here we give a survey of consequences from the theory of the Beltrami equations in the complex plane $\mathbb C$ to generalized Cauchy-Riemann equations $\nabla v = B \nabla u$ in the real plane $\mathbb R^2$ and clarify the relationships of the latt
Externí odkaz:
http://arxiv.org/abs/2411.08941
The primary objective of this paper is to establish several sharp versions of improved Bohr inequalities, refined Bohr inequalities, and Bohr-Rogosinski inequalities for the class of $K$-quasiconformal sense-preserving harmonic mappings $f=h+\overlin
Externí odkaz:
http://arxiv.org/abs/2411.04094
Autor:
Biswas, Raju, Mandal, Rajib
The primary objective of this paper is to establish several sharp versions of improved Bohr inequality, refined Bohr-type inequality, and refined Bohr-Rogosinski inequality for the class of $K$-quasiconformal sense-preserving harmonic mappings $f=h+\
Externí odkaz:
http://arxiv.org/abs/2411.03352
Autor:
Biswas, Raju, Mandal, Rajib
The classical Bohr theorem and its subsequent generalizations have become active areas of research, with investigations conducted in numerous function spaces. Let $\{\psi_n(r)\}_{n=0}^\infty$ be a sequence of non-negative continuous functions defined
Externí odkaz:
http://arxiv.org/abs/2411.01837
A simple arc $\Gamma = \gamma(0, T]$, growing into the unit disk $\mathbb D$ from its boundary, generates a driving term $\xi$ and a conformal welding $\phi$ through the Loewner differential equation. When $\Gamma$ is the slit of a Weil--Petersson qu
Externí odkaz:
http://arxiv.org/abs/2410.14346
Autor:
Long, Bo-Yong
The solutions of a kind of second-order homogeneous partial differential equation are called (real kernel) alpha-harmonic functions. The alpha-harmonic functions and their first-order partial derivative functions on unit disk are estimated using the
Externí odkaz:
http://arxiv.org/abs/2410.12145