Hausdorff operator in Lebesgue spaces

We study the boundedness of the Hausdorff operator in various types of Lebesgue spaces, e.g. weighted spaces, variable exponent and grand Lebesgue spaces. The results are illustrated by a number of examples. © 2019 Element D.O.O.. All rights reserved.

Авторы
Bandaliyev R. 1, 2 , Górka P. 3
Journal
Mathematical Inequalities and Applications
Издательство
Element D.O.O.
Номер выпуска
2
Язык
English
Страницы
657-676
Статус
Published
Ссылка
Внешняя ссылка
DOI
10.7153/MIA-2019-22-45
Том
22
Год
2019
Организации
  • 1 Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, B.Vahabzade 9, Baku, AZ 1141, Azerbaijan
  • 2 S.M. Nikolskii Institute of Mathematics, RUDN University, Moscow, 117198, Russian Federation
  • 3 Department of Mathematics and Information Sciences, Warsaw University of Technology, Ul. Koszykowa 75, Warsaw, 00-662, Poland
Ключевые слова
Hausdorff operator; Quasi-Banach spaces; Variable exponent Lebesgue spaces; Weighted Lebesgue spaces
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