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Izvestiya: Mathematics, 2006, Volume 70, Issue 2, Pages 211–231
DOI: https://doi.org/10.1070/IM2006v070n02ABEH002310 (Mi im560) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The modified multiplicative integral and derivative of arbitrary order on the semiaxis

S. S. Volosivets

Saratov State University named after N. G. Chernyshevsky
English version PDF (407 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM2006v070n02ABEH002310
Abstract: We consider the modified strong dyadic integral and derivative in $L_q({\mathbb R}_+)$, $1\le q\le 2$. We establish conditions for their existence, study how the behaviour of the structural characteristics of a function is related to that of its derivative (integral), and prove an embedding theorem of Hardy–Littlewood–Sobolev type.
Received: 19.05.2005
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2006, Volume 70, Issue 2, Pages 3–24
DOI: https://doi.org/10.4213/im560
Bibliographic databases:
UDC: 517.2
MSC: 42C10, 26A33, 43A25
Language: English
Original paper language: Russian
Citation: S. S. Volosivets, “The modified multiplicative integral and derivative of arbitrary order on the semiaxis”, Izv. RAN. Ser. Mat., 70:2 (2006), 3–24; Izv. Math., 70:2 (2006), 211–231
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2006v070n02ABEH002310
  • https://www.mathnet.ru/eng/im/v70/i2/p3
    • This publication is cited in the following 7 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:732
    Russian version PDF:221
    English version PDF:12
    References:59
    First page:1
     
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