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Boundedness and compactness of a class of Hardy type operators

Abylayeva, Akbota M. (author)
Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Astana
Oinarov, Ryskul (author)
Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Astana
Persson, Lars-Erik (author)
Luleå tekniska universitet,Matematiska vetenskaper
Department of Mechanics and Mathematics, LN. Gumilyov Eurasian National University, Astana Matematiska vetenskaper (creator_code:org_t)
2016-12-13
2016
English.
In: Journal of inequalities and applications. - : Springer Science and Business Media LLC. - 1025-5834 .- 1029-242X. ; :1
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the Riemann-Liouville, Hadamard, and Erdelyi-Kober operators. In particular, these results imply new results in the theory of Hardy type inequalities. As applications both new and well-known results are pointed out.

Subject headings

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Keyword

Matematik
Mathematics

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