Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Amar Deep Sarkar"'
Autor:
Amar Deep Sarkar
Publikováno v:
Complex Analysis and its Synergies. 8
In this note, we use scaling principle to study the boundary behaviour of the span metric and its higher-order curvatures on finitely connected Jordan planar domains. A localization of this metric near boundary points of finitely connected Jordan dom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4be9119f4278cee442868cb08cf8889
https://doi.org/10.1007/s40627-022-00106-2
https://doi.org/10.1007/s40627-022-00106-2
In this article, we study some properties of the $n$-th order weighted reduced Bergman kernels for planar domains, $n\geq 1$. Specifically, we look at Ramadanov type theorems, localization, and boundary behaviour of the weighted reduced Bergman kerne
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90c0cca96d1d539e26a17aefd9ed8495
Autor:
Amar Deep Sarkar
In this article, we prove localization results for the Kobayashi distance of Kobayashi hyperbolic domains with local visibility property in $\mathbb{C}^d$, $d \geq 1$. This is done by proving a localization result for the Kobayashi-Royden pseudometri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f22ba479afa27e05abd08ee0a75bff53
Autor:
Kaushal Verma, Amar Deep Sarkar
Publikováno v:
Computational Methods and Function Theory. 20:145-158
The purpose of this note is to use the scaling principle to study the boundary behaviour of some conformal invariants on planar domains. The focus is on the Aumannâ��CarathA©odory rigidity constant, the higher order curvatures of the CarathA©o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a2f843506812d544884b7788b4a1a67
https://doi.org/10.1007/s40315-020-00303-2
https://doi.org/10.1007/s40315-020-00303-2
Autor:
Amar Deep Sarkar, Kaushal Verma
Publikováno v:
Kodai Mathematical Journal. 44
The Hurwitz metric was recently defined by Minda by considering a variational problem that involves holomorphic maps from the disc that are globally injective at the origin. In this note, sharp boundary estimates for this metric are obtained on $C^2$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a90e732083e02ad23a30bf60a52211f
https://doi.org/10.2996/kmj44108
https://doi.org/10.2996/kmj44108
Autor:
Amar Deep Sarkar, Kaushal Verma
Publikováno v:
Proceedings - Mathematical Sciences. 130
Given a pair of smoothly bounded domains $$D_1, D_2 \subset \mathbb {C}$$ , the purpose of this paper is to obtain an inequality that relates the Caratheodory metrics on $$D_1, D_2, D_1 \cap D_2$$ and $$D_1 \cup D_2$$ .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16750849868308b89946535a5b433a29
https://doi.org/10.1007/s12044-020-00565-9
https://doi.org/10.1007/s12044-020-00565-9