|
Математические заметки, 2019, том 106, выпуск 1, статья опубликована в англоязычной версии журнала
(Mi mzm12154)
|
|
|
|
Эта публикация цитируется в 14 научных статьях (всего в 14 статьях)
Статьи, опубликованные в английской версии журнала
Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces
N. M. Chuonga, D. V. Duongb, K. H. Dungc a Institute of Mathematics, Vietnamese Academy of Science and
Technology,
Hanoi, 100000 Vietnam
b School of Mathematics, Mientrung University of Civil Engineering,
Phu Yen, 620000 Vietnam
c School of Mathematics, University of Transport and Communications,
Hanoi, 100000 Vietnam
Аннотация:
In this paper, we prove the boundedness of matrix Hausdorff operators and
rough Hausdorff operators in the two weighted Herz-type Hardy spaces
associated with both power weights and Muckenhoupt weights. By applying
the fact that the standard infinite atomic decomposition norm on two weighted
Herz-type Hardy spaces is equivalent to the finite atomic norm on some dense
subspaces of them, we generalize some previous known results due to Chen
et al. [7] and Ruan, Fan [31].
Ключевые слова:
Hausdorff operator, Herz space, Herz-type Hardy space, $A_p$ weight, atom.
Поступило: 16.08.2018 Исправленный вариант: 20.12.2018
Образец цитирования:
N. M. Chuong, D. V. Duong, K. H. Dung, “Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces”, Math. Notes, 106:1 (2019), 20–37
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/mzm12154
|
|