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.

Авторы
Abylayeva A.M.1 , Persson L.-E. 2, 3, 4
Издательство
Element D.O.O.
Номер выпуска
1
Язык
Английский
Страницы
201-215
Статус
Опубликовано
Том
21
Год
2018
Организации
  • 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
Ключевые слова
Boundedness; Compactness; Fractional integration operator; Hardy type inequalities; Inequalities; Logarithmic singularity; Singular integral operator
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/7141/