Holomorphic isometries of $${\mathbb {B}}^m$$Bm into bounded symmetric domains arising from linear sections of minimal embeddings of their compact duals
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-016-1778-7
Abstract: We study general properties of images of holomorphic isometric embeddings of complex unit balls $${\mathbb {B}}^m$$Bm into irreducible bounded symmetric domains $${\varOmega }$$Ω of rank at least 2. In particular, we show that such holomorphic… read more here.
Keywords: unit balls; holomorphic isometric; complex unit; bounded symmetric ... See more keywords
Support points for families of univalent mappings on bounded symmetric domains
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DOI: 10.1007/s11425-019-1632-1
Abstract: In this paper we study some extremal problems for the family $S_g^0(\mathbb{B}_X)$ of normalized univalent mappings with $g$-parametric representation on the unit ball $\mathbb{B}_X$ of an $n$-dimensional JB$^*$-triple $X$ with $r\geq 2$, where $r$ is… read more here.
Keywords: support; symmetric domains; bounded symmetric; support points ... See more keywords
A Wolff Theorem for finite rank bounded symmetric domains
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DOI: 10.1016/j.jmaa.2017.06.084
Abstract: Abstract We present a Wolff Theorem for all infinite dimensional bounded symmetric domains of finite rank. Namely, if B is the open unit ball of any finite rank J B ⁎ -triple and f :… read more here.
Keywords: wolff theorem; theorem finite; bounded symmetric; finite rank ... See more keywords
Limit operators, compactness and essential spectra on bounded symmetric domains
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DOI: 10.1016/j.jmaa.2018.10.016
Abstract: This paper is a follow-up to a recent article about the essential spectrum of Toeplitz operators acting on the Bergman space over the unit ball. As mentioned in the said article, some of the arguments… read more here.
Keywords: limit operators; bounded symmetric; band dominated; compactness essential ... See more keywords