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Periods of $L^2$-forms in an infinite-connected planar domain : Périodes de formes $L^2$ dans un domaine plan infiniment connexe. / Dubashinskiy, Mikhail.

In: Comptes Rendus Mathematique, Vol. 354, No. 11, 11.2016, p. 1060-1064.

Research output: Contribution to journal › Article › peer-review

Harvard

Dubashinskiy, M 2016, 'Periods of $L^2$-forms in an infinite-connected planar domain: Périodes de formes $L^2$ dans un domaine plan infiniment connexe', Comptes Rendus Mathematique, vol. 354, no. 11, pp. 1060-1064. https://doi.org/10.1016/j.crma.2016.09.007

APA

Dubashinskiy, M. (2016). Periods of $L^2$-forms in an infinite-connected planar domain: Périodes de formes $L^2$ dans un domaine plan infiniment connexe. Comptes Rendus Mathematique, 354(11), 1060-1064. https://doi.org/10.1016/j.crma.2016.09.007

Vancouver

Dubashinskiy M. Periods of $L^2$-forms in an infinite-connected planar domain: Périodes de formes $L^2$ dans un domaine plan infiniment connexe. Comptes Rendus Mathematique. 2016 Nov;354(11):1060-1064. https://doi.org/10.1016/j.crma.2016.09.007

Author

Dubashinskiy, Mikhail. / Periods of $L^2$-forms in an infinite-connected planar domain : Périodes de formes $L^2$ dans un domaine plan infiniment connexe. In: Comptes Rendus Mathematique. 2016 ; Vol. 354, No. 11. pp. 1060-1064.

BibTeX

@article{dafef4c83b674b8b9b58c4e704296540,
title = "Periods of $L^2$-forms in an infinite-connected planar domain: P{\'e}riodes de formes $L^2$ dans un domaine plan infiniment connexe",
abstract = "Let Ω⊂R2 be a countably-connected domain. In Ω, consider closed differential forms of degree 1 with components in L2(Ω). Further, consider sequences of periods of such forms around holes in Ω, i.e. around bounded connected components of R2∖Ω. For which domains Ω the collection of such a period sequences coincides with ℓ2? We give an answer in terms of metric properties of holes in Ω.",
keywords = "planar countably connected domains, period operators for differential forms, complete interpolation property, Bergman spaces",
author = "Mikhail Dubashinskiy",
year = "2016",
month = nov,
doi = "10.1016/j.crma.2016.09.007",
language = "English",
volume = "354",
pages = "1060--1064",
journal = "Comptes Rendus Mathematique",
issn = "1631-073X",
publisher = "Elsevier",
number = "11",

}

RIS

TY - JOUR

T1 - Periods of $L^2$-forms in an infinite-connected planar domain

T2 - Périodes de formes $L^2$ dans un domaine plan infiniment connexe

AU - Dubashinskiy, Mikhail

PY - 2016/11

Y1 - 2016/11

N2 - Let Ω⊂R2 be a countably-connected domain. In Ω, consider closed differential forms of degree 1 with components in L2(Ω). Further, consider sequences of periods of such forms around holes in Ω, i.e. around bounded connected components of R2∖Ω. For which domains Ω the collection of such a period sequences coincides with ℓ2? We give an answer in terms of metric properties of holes in Ω.

AB - Let Ω⊂R2 be a countably-connected domain. In Ω, consider closed differential forms of degree 1 with components in L2(Ω). Further, consider sequences of periods of such forms around holes in Ω, i.e. around bounded connected components of R2∖Ω. For which domains Ω the collection of such a period sequences coincides with ℓ2? We give an answer in terms of metric properties of holes in Ω.

KW - planar countably connected domains

KW - period operators for differential forms

KW - complete interpolation property

KW - Bergman spaces

UR - http://www.scopus.com/inward/record.url?scp=84994115629&partnerID=8YFLogxK

U2 - 10.1016/j.crma.2016.09.007

DO - 10.1016/j.crma.2016.09.007

M3 - Article

AN - SCOPUS:84994115629

VL - 354

SP - 1060

EP - 1064

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

IS - 11

ER -

ID: 36498022