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
On vector-valued automorphic forms on bounded symmetric domains
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DOI: 10.1007/s10455-018-9632-2
Abstract: We prove a spanning result for vector-valued Poincaré series on a bounded symmetric domain. We associate a sequence of holomorphic automorphic forms to a submanifold of the domain. When the domain is the unit ball… read more here.
Keywords: valued automorphic; forms bounded; automorphic forms; vector valued ... 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
m-Berezin Transform and Approximation of Operators on the Bergman Space Over Bounded Symmetric Domains
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DOI: 10.1007/s11785-015-0519-y
Abstract: We study m-Berezin transforms of bounded operators on the Bergman space over a bounded symmetric domain, $$\Omega $$Ω. We use the m-Berezin transform to establish some results on norm approximation of bounded linear operators acting… read more here.
Keywords: berezin transform; operators bergman; bounded symmetric; bergman space ... 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
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
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
Adaptive Rational Approximation in Bergman Space on Bounded Symmetric Domain
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DOI: 10.1016/j.jmaa.2021.125591
Abstract: Abstract We generalize the pre-orthogonal adaptive Fourier approximation developed by T. Qian et al [11] , [9] , [5] to functions in the Bergman space on the unit disc and the unit ball to the… read more here.
Keywords: bergman space; symmetric domain; approximation; bounded symmetric ... See more keywords