Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 164–186
DOI: https://doi.org/10.33048/semi.2022.19.014 (Mi semr1491) 		 
Real, complex and functional analysis

Capacities of generalized condensers with $A_1$-Muckenhoupt weight

Yu. V. Dymchenkoabc, V. A. Shlykdc

a Maritime State University, 50a, Verkhneportovaya str., Vladivostok, 690059, Russia
b Institute of Applied Mathematics, Vladivostok Branch of the RAS 7, Radio str., Vladivostok, 690041, Russia
c Far Eastern Federal University, Far Eastern Center for Research and Education in Mathematics, 10, Ajax Bay, Vladivostok, 690922, Russia
d Vladivostok Branch of Russian Customs Academy, 16v, Strelkovaya str., Vladivostok, 690034, Russia
Full-text PDF (459 kB)
References:
PDF
HTML
DOI: https://doi.org/10.33048/semi.2022.19.014
Abstract: We prove the relations (related to $A_1$-Muckenhoupt weight) between two capacities of a generalized condenser and the moduli of vector measures on the curve configuration.
Keywords: capacity of condenser, Muckenhoupt weight, modulus of vector measures.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-880
The research was funded by the Ministry of Science and Higher Education of the Russian Federation (agreement No. 075-02-2022-880)
Received August 23, 2021, published March 11, 2022
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 46E35, 31C45
Language: English
Citation: Yu. V. Dymchenko, V. A. Shlyk, “Capacities of generalized condensers with $A_1$-Muckenhoupt weight”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 164–186
Citation in format AMSBIB
\Bibitem{DymShl22}
\by Yu.~V.~Dymchenko, V.~A.~Shlyk
\paper Capacities of generalized condensers with $A_1$-Muckenhoupt weight
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 1
\pages 164--186
\mathnet{http://mi.mathnet.ru/semr1491}
\crossref{https://doi.org/10.33048/semi.2022.19.014}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4394276}
Linking options:
  • https://www.mathnet.ru/eng/semr1491
  • https://www.mathnet.ru/eng/semr/v19/i1/p164
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:98
    Full-text PDF :35
    References:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024