Approximation on limit compact sets of Kleinian Groups

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Approximation on limit compact sets of Kleinian Groups. / Shirokov, N. A.

In: Journal of Mathematical Sciences , Vol. 92, No. 1, 1998, p. 3675-3684.

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Shirokov, N. A. / Approximation on limit compact sets of Kleinian Groups. In: Journal of Mathematical Sciences . 1998 ; Vol. 92, No. 1. pp. 3675-3684.

BibTeX

@article{d824f902d52444e5bf4f1b4134f161d8,

title = "Approximation on limit compact sets of Kleinian Groups",

abstract = "Let Γ be a geometrically finite or a quasi-Fuchsian Kleiman group such that ∞ ∈ Ω̊(v). We establish the relation X = clos x L(1/1-a, a∈Ξ) for some countable sets Ξ ⊂ Ω(Γ) connected with actions of elements of Γ, and for the space X =C(Λ) or for the H{\"o}lder classes X = Lα(Λ), 0 < α < 1, where Λ = Λ(Γ) = ℂ\Ω is the limit set of Γ. Bibliography: 6 titles.",

author = "Shirokov, {N. A.}",

note = "Funding Information: Now the maximum principle implies that p(z) --0. Thus, implication (3.1) is established. Theorem 2 is proved. This research was supported in part by the Russian Foundation for Fundamental Investigations, grant 95-01-00477.",

year = "1998",

doi = "10.1007/BF02440152",

language = "English",

volume = "92",

pages = "3675--3684",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "1",

}

RIS

TY - JOUR

T1 - Approximation on limit compact sets of Kleinian Groups

AU - Shirokov, N. A.

N1 - Funding Information: Now the maximum principle implies that p(z) --0. Thus, implication (3.1) is established. Theorem 2 is proved. This research was supported in part by the Russian Foundation for Fundamental Investigations, grant 95-01-00477.

PY - 1998

Y1 - 1998

N2 - Let Γ be a geometrically finite or a quasi-Fuchsian Kleiman group such that ∞ ∈ Ω̊(v). We establish the relation X = clos x L(1/1-a, a∈Ξ) for some countable sets Ξ ⊂ Ω(Γ) connected with actions of elements of Γ, and for the space X =C(Λ) or for the Hölder classes X = Lα(Λ), 0 < α < 1, where Λ = Λ(Γ) = ℂ\Ω is the limit set of Γ. Bibliography: 6 titles.

AB - Let Γ be a geometrically finite or a quasi-Fuchsian Kleiman group such that ∞ ∈ Ω̊(v). We establish the relation X = clos x L(1/1-a, a∈Ξ) for some countable sets Ξ ⊂ Ω(Γ) connected with actions of elements of Γ, and for the space X =C(Λ) or for the Hölder classes X = Lα(Λ), 0 < α < 1, where Λ = Λ(Γ) = ℂ\Ω is the limit set of Γ. Bibliography: 6 titles.

UR - http://www.scopus.com/inward/record.url?scp=54749087554&partnerID=8YFLogxK

U2 - 10.1007/BF02440152

DO - 10.1007/BF02440152

M3 - Article

AN - SCOPUS:54749087554

VL - 92

SP - 3675

EP - 3684

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 86661286