A Coercive Estimate for the Nonhomogeneous Differential Operator on the Heisenberg Group

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A Coercive Estimate for the Nonhomogeneous Differential Operator on the Heisenberg Group. / Исангулова, Дарья Васильевна.

In: Siberian Mathematical Journal, Vol. 65, No. 3, 05.2024, p. 663-679.

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

BibTeX

@article{3caacca88c3f4f0f898feb8aa6d00acb,

title = "A Coercive Estimate for the Nonhomogeneous Differential Operator on the Heisenberg Group",

abstract = "We construct some linear nonhomogeneous differential operator on the Heisenberg groupwhose kernel is interconnected with the Lie algebra of the group of conformal mappings.In more detail, the kernel of coincides with first two coordinate functions of mappings ofthe Lie algebra of conformal mappings.We derive the integral representation formula andgive a coercive estimate for.",

keywords = "517.3, Heisenberg group, coercive estimate, conformal mapping, integral representation formula",

author = "Исангулова, {Дарья Васильевна}",

note = "The work is supported by the Mathematical Center in Akademgorodok under Agreement 075–15–2022–282 with the Ministry of Science and Higher Education of the Russian Federation.",

year = "2024",

month = may,

doi = "10.1134/S0037446624030157",

language = "English",

volume = "65",

pages = "663--679",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",

number = "3",

}

RIS

TY - JOUR

T1 - A Coercive Estimate for the Nonhomogeneous Differential Operator on the Heisenberg Group

AU - Исангулова, Дарья Васильевна

N1 - The work is supported by the Mathematical Center in Akademgorodok under Agreement 075–15–2022–282 with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2024/5

Y1 - 2024/5

N2 - We construct some linear nonhomogeneous differential operator on the Heisenberg groupwhose kernel is interconnected with the Lie algebra of the group of conformal mappings.In more detail, the kernel of coincides with first two coordinate functions of mappings ofthe Lie algebra of conformal mappings.We derive the integral representation formula andgive a coercive estimate for.

AB - We construct some linear nonhomogeneous differential operator on the Heisenberg groupwhose kernel is interconnected with the Lie algebra of the group of conformal mappings.In more detail, the kernel of coincides with first two coordinate functions of mappings ofthe Lie algebra of conformal mappings.We derive the integral representation formula andgive a coercive estimate for.

KW - 517.3

KW - Heisenberg group

KW - coercive estimate

KW - conformal mapping

KW - integral representation formula

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85194588159&origin=inward&txGid=c3f3abe683555dbbf1d50fc1ce8c419e

UR - https://www.mendeley.com/catalogue/28cb2cb2-532a-3a8e-8629-8b33b9fca1a0/

U2 - 10.1134/S0037446624030157

DO - 10.1134/S0037446624030157

M3 - Article

VL - 65

SP - 663

EP - 679

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -

ID: 60030609