Zobrazeno 1 - 8
of 8
pro vyhledávání: '"30F45, 30C65"'
Publikováno v:
J. Analysis 24 (2016), 57-66
We consider proper subdomains $G$ of $\mathbb{R}^n$ and their images $G'=f(G)$ under quasiconformal mappings $f$ of $\mathbb{R}^n$. We compare the distance ratio metrics of $G$ and $G'$; as an application we show that $\varphi$-uniform domains are pr
Externí odkaz:
http://arxiv.org/abs/1510.05847
Autor:
Sahoo, Swadesh Kumar
Publikováno v:
Indian Institute Technology Madras, Chennai, India, 2008
We consider certain inequalities among the Apollonian metric, the Apollonian inner metric, the $j$ metric and the quasihyperbolic metric. We verify that whether these inequalities can occur in simply connected planar domains and in proper subdomains
Externí odkaz:
http://arxiv.org/abs/1005.4317
Autor:
Klén, Riku
Publikováno v:
Ann. Acad. Sci. Fenn. Math. 25 (2010), 493-501
We will consider close-to-convexity of the metric balls defined by the quasihyperbolic metric and the $j$-metric. We will show that the $j$-metric balls with small radii are close-to-convex in general subdomains of $\Rn$ and the quasihyperbolic balls
Externí odkaz:
http://arxiv.org/abs/1001.3923
Publikováno v:
Monatshefte f\"ur Mathematik, 174 (2)(2014), 231 - 258
We study two metrics, the quasihyperbolic metric and the distance ratio metric of a subdomain $G \subset {\mathbb R}^n$. In the sequel, we investigate a class of domains, so called $\varphi$-uniform domains, defined by the property that these two met
Externí odkaz:
http://arxiv.org/abs/0812.4369
Autor:
Riku Klén
Publikováno v:
Annales Academiae Scientiarum Fennicae Mathematica. 35:493-501
We will consider close-to-convexity of the metric balls defined by the quasihyperbolic metric and the $j$-metric. We will show that the $j$-metric balls with small radii are close-to-convex in general subdomains of $\Rn$ and the quasihyperbolic balls
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f363a3e91a8e96908ad2445157d60b4
https://doi.org/10.5186/aasfm.2010.3530
https://doi.org/10.5186/aasfm.2010.3530
We consider proper subdomains $G$ of $\mathbb{R}^n$ and their images $G'=f(G)$ under quasiconformal mappings $f$ of $\mathbb{R}^n$. We compare the distance ratio metrics of $G$ and $G'$; as an application we show that $\varphi$-uniform domains are pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63f74b552b29108fcb7f79e4d367cf0b
http://arxiv.org/abs/1510.05847
http://arxiv.org/abs/1510.05847
We consider proper subdomains $G$ of $\mathbb{R}^n$ and their images $G'=f(G)$ under quasiconformal mappings $f$ of $\mathbb{R}^n$. We compare the distance ratio metrics of $G$ and $G'$; as an application we show that $��$-uniform domains are pre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::095d5f6324eb26db409605ae899c351b
We study two metrics, the quasihyperbolic metric and the distance ratio metric of a subdomain $G \subset {\mathbb R}^n$. In the sequel, we investigate a class of domains, so called $��$-uniform domains, defined by the property that these two metr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0922329457d925a441d36b905dbf40fb