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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 5, Pages 69–87 (Mi fpm1542)  
This article is cited in 1 scientific paper (total in 1 paper)

Weighted integrability of double series with respect to multiplicative systems

S. S. Volosivets, R. N. Fadeev

Chernyshevsky Saratov State University, Saratov, Russia
Full-text PDF (191 kB) Citations (1)
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Abstract: Necessary and sufficient conditions for $L^p$-integrability with power weight of a function $f$ represented by the double series with respect to a multiplicative system with generalized monotone coefficients are obtained. These conditions are given in terms of the coefficients or their second mixed differences. In addition, the integrability of the difference quotient $(f(x,y)-f(x,0)-f(0,y)+f(0,0))/(xy)$ is studied.
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 209, Issue 1, Pages 51–65
DOI: https://doi.org/10.1007/s10958-015-2484-4
Bibliographic databases:
Document Type: Article
UDC: 517.518.36
Language: Russian
Citation: S. S. Volosivets, R. N. Fadeev, “Weighted integrability of double series with respect to multiplicative systems”, Fundam. Prikl. Mat., 18:5 (2013), 69–87; J. Math. Sci., 209:1 (2015), 51–65
Citation in format AMSBIB
\Bibitem{VolFad13}
\by S.~S.~Volosivets, R.~N.~Fadeev
\paper Weighted integrability of double series with respect to multiplicative systems
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 5
\pages 69--87
\mathnet{http://mi.mathnet.ru/fpm1542}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431845}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 209
\issue 1
\pages 51--65
\crossref{https://doi.org/10.1007/s10958-015-2484-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84938287613}
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  • https://www.mathnet.ru/eng/fpm/v18/i5/p69
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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