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

We establish criteria for both boundedness and compactness for some classes of integral operators with logarithmic singularities in weighted Lebesgue spaces for cases 1 < p ≤ q < 8 and 1 < q < p < 8. As corollaries some corresponding new Hardy inequalities are pointed out. © ELEMEN , Zagreb.

Authors
Abylayeva A.M.1 , Persson L.-E. 2, 3, 4
Journal
Mathematical Inequalities and Applications
Publisher
Element D.O.O.
Number of issue
1
Language
English
Pages
201-215
Status
Published
Link
External link
DOI
10.7153/mia-2018-21-16
Volume
21
Year
2018
Organizations
  • 1 L. N. Gumilev Eurasian National University, Kazakhstan
  • 2 Lulea University of Technology, Sweden
  • 3 UiT, Artic University of Norway, Norway
  • 4 RUDN University, Moscow, Russian Federation
Keywords
Boundedness; Compactness; Fractional integration operator; Hardy type inequalities; Inequalities; Logarithmic singularity; Singular integral operator
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/7141/
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