Kernel operators with variable intervals of integration in lebesgue spaces and applications

New criteria of Lp - Lq boundedness of Hardy-Steklov type operator (1.1) with both increasing on (0,∞) boundary functions a(x) and b(x) are obtained for 1< p < q < ∞ and 0 < q < p < ∞, p > 1. This result is applied for two-weighted Lp - Lq characterization of the corresponding geometric Steklov operator (1.3) and other related problems.

Авторы
Stepanov V.D. 1 , Ushakova E.P.2, 3
Издательство
Element D.O.O.
Номер выпуска
3
Язык
Английский
Страницы
449-510
Статус
Опубликовано
Том
13
Год
2010
Организации
  • 1 Department of Mathematical Analysis and Function Theory, Peoples Friendship University, 117198 Moscow, Russian Federation
  • 2 Computing Centre of Far Eastern Branch of 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/2836/