Alternative criteria for the boundedness of volterra integral operators in lebesgue spaces

Three different criteria for Lp -Lq boundedness of Volterra integral operator (1.1) with locally integrable weight functions w, v and a non-negative kernel k(x,y) satisfying Oinarov's condition for each case 1 < p ≤ q < ∞ and 1 < q < p < ∞ are given. Relations between components of the boundedness constants are described.

Авторы
Stepanov V.D. 1 , Ushakova E.P.2, 3
Издательство
Element D.O.O.
Номер выпуска
4
Язык
Английский
Страницы
873-889
Статус
Опубликовано
Том
12
Год
2009
Организации
  • 1 Department of Mathematical Analysis and Function Theory, Peoples Friendship University, 117198 Moscow, Russian Federation
  • 2 Computing Centre of Far Eastern Branch, Russian Academy of Sciences, 680000 Khabarovsk, Russian Federation
  • 3 Department of Mathematics, Uppsala University, Box 480, 751 06 Uppsala, Sweden
Ключевые слова
Boundedness; Integral operators; Lebesgue spaces; Weights
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3009/