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Izvestiya: Mathematics, 2014, Volume 78, Issue 4, Pages 836–853
DOI: https://doi.org/10.1070/IM2014v078n04ABEH002708 (Mi im8026) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Boundedness of integral operators in weighted Sobolev spaces

R. Oinarov

L. N. Gumilev Eurasian National University, Astana
English version PDF (303 kB) Citations (11)
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DOI: https://doi.org/10.1070/IM2014v078n04ABEH002708
Abstract: We obtain criteria for some classes of integral operators of Volterra type to be bounded operators from one weighted Sobolev space into another weighted Sobolev space.
Keywords: integral operators, weighted Lebesgue space, weighted Sobolev space, boundedness.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 1529/ГФ
Received: 02.07.2012
Revised: 11.03.2013
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2014, Volume 78, Issue 4, Pages 207–223
DOI: https://doi.org/10.4213/im8026
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 26D10, 45D05, 47B38, 47G10
Language: English
Original paper language: Russian
Citation: R. Oinarov, “Boundedness of integral operators in weighted Sobolev spaces”, Izv. RAN. Ser. Mat., 78:4 (2014), 207–223; Izv. Math., 78:4 (2014), 836–853
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im8026
  • https://doi.org/10.1070/IM2014v078n04ABEH002708
  • https://www.mathnet.ru/eng/im/v78/i4/p207
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:597
    Russian version PDF:179
    English version PDF:7
    References:69
    First page:45
     
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