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Hardy type inequali...
Hardy type inequalities and compactness of a class of integral operators with logarithmic singularities
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- Abylayeva, Akbota M. (author)
- Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
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- Persson, Lars-Erik (author)
- Luleå tekniska universitet,Matematiska vetenskaper,UiT, Tromso, Norway. RUDN University, Moscow, Russia
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Department of Mechanics and Mathematics, LN. Gumilyov Eurasian National University, Astana, Kazakhstan Matematiska vetenskaper (creator_code:org_t)
- Ele-math, 2018
- 2018
- English.
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In: Mathematical Inequalities & Applications. - : Ele-math. - 1331-4343 .- 1848-9966. ; 21:1, s. 201-215
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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
Publication and Content Type
- ref (subject category)
- art (subject category)
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