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Matematicheskie Zametki, 2022, Volume 112, Issue 1, Pages 61–75
DOI: https://doi.org/10.4213/mzm13456 (Mi mzm13456) 		 
On New Functional Characteristics of Domains $\Omega\in\mathbb R^n$

N. M. Ivochkina, S. I. Prokof'eva, G. V. Yakunina

St. Petersburg State University of Architecture and Civil Engineering
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DOI: https://doi.org/10.4213/mzm13456
Abstract: A system of new differential-geometric notions as the result of an analysis of the Trudinger–Wang inequalities is proposed. Their naturalness in multivariate analysis and geometry is exhibited by an example of a model problem for the ball. New directions in the development of the theory of Hessian operators and their connection with geometry are noted.
Keywords: Hesse matrix, domain mediators, Hessian dilation.
Received: 08.02.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 1, Pages 70–82
DOI: https://doi.org/10.1134/S0001434622070070
Bibliographic databases:
Document Type: Article
UDC: 517.95+514.7
Language: Russian
Citation: N. M. Ivochkina, S. I. Prokof'eva, G. V. Yakunina, “On New Functional Characteristics of Domains $\Omega\in\mathbb R^n$”, Mat. Zametki, 112:1 (2022), 61–75; Math. Notes, 112:1 (2022), 70–82
Citation in format AMSBIB
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\by N.~M.~Ivochkina, S.~I.~Prokof'eva, G.~V.~Yakunina
\paper On New Functional Characteristics of Domains $\Omega\in\mathbb R^n$
\jour Mat. Zametki
\yr 2022
\vol 112
\issue 1
\pages 61--75
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\crossref{https://doi.org/10.4213/mzm13456}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461329}
\transl
\jour Math. Notes
\yr 2022
\vol 112
\issue 1
\pages 70--82
\crossref{https://doi.org/10.1134/S0001434622070070}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85136663320}
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