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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 647–656
DOI: https://doi.org/10.17377/semi.2017.14.056 (Mi semr813) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Real, complex and functional analysis

Variable order Riesz potential over $\mathbb{\dot{R}}^n$ on weighted generalized variable Hölder spaces

B. G. Vakulova, Yu. E. Drobotovabc

a Vorovich Institute of Mathematics, Mechanics and Computer Sciences, Milchakova str., 8a, 344090, Rostov-on-Don, Russia
b Azov Sea Research Fisheries Institute, ul. Beregovaya, 21v, 344002, Rostov-on-Don, Russia
c SPE Vibrobit LLC, ul. Kapustina, 8a, 344092, Rostov-on-Don, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.056
Abstract: Theorems on the conditions for the spherical Riesz potential type operator to be bounded in the generalized Hölder spaces are considered to develop results for the spatial case. Due to applying stereographic projection, theorems on boundedness of the variable order multidimensional potential type operator in the generalized variable Hölder spaces are proven.
Keywords: fractional calculus, variable order, generalized Hölder space, Riesz potential.
Received July 19, 2016, published July 19, 2017
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 31B10
Language: Russian
Citation: B. G. Vakulov, Yu. E. Drobotov, “Variable order Riesz potential over $\mathbb{\dot{R}}^n$ on weighted generalized variable Hölder spaces”, Sib. Èlektron. Mat. Izv., 14 (2017), 647–656
Citation in format AMSBIB
\Bibitem{VakDro17}
\by B.~G.~Vakulov, Yu.~E.~Drobotov
\paper Variable order Riesz potential over $\mathbb{\dot{R}}^n$ on weighted generalized variable H\"older spaces
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 647--656
\mathnet{http://mi.mathnet.ru/semr813}
\crossref{https://doi.org/10.17377/semi.2017.14.056}
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