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Hardy type inequalities and compactness of a class of integral operators with logarithmic singularities

Abylayeva, Akbota M. (author)
Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
Persson, Lars-Erik (author)
Luleå tekniska universitet,Matematiska vetenskaper,UiT, Tromso, Norway. RUDN University, Moscow, Russia
Department of Mechanics and Mathematics, LN. Gumilyov Eurasian National University, Astana, Kazakhstan Matematiska vetenskaper (creator_code:org_t)
Ele-math, 2018
2018
English.
In: Mathematical Inequalities & Applications. - : Ele-math. - 1331-4343 .- 1848-9966. ; 21:1, s. 201-215
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • We establish criteria for both boundedness and compactness for some classes of integraloperators with logarithmic singularities in weighted Lebesgue spaces for cases 1 < p 6 q <¥ and 1 < q < p < ¥. As corollaries some corresponding new Hardy inequalities are pointedout.1

Subject headings

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

Keyword

Inequalities
Hardy type inequalities
singular integral operator
logarithmic singularity
fractional integration operator
boundedness
compactness
Matematik
Mathematics

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ref (subject category)
art (subject category)

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