Environmental Science and Pollution Research.
Springer Science + Business Media.
Том 27.
2020.
С. 34348-34356
Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent
Our aim in this paper is to characterize local Muckenhoupt weighted Lebesgue spaces with variable exponent by compactly supported smooth wavelets. We also investigate necessary and sufficient conditions for the corresponding modular inequalities to hold. One big achievement is that the weights with exponential growth can be handled in the framework of variable exponents. © 2020
Авторы
Izuki M.1
,
Nogayama T.2
,
Noi T.2
,
Sawano Y.
3,
4
Издательство
Elsevier Ltd
Язык
Английский
Статус
Опубликовано
Ссылка
Номер
111930
Том
198
Год
2020
Организации
- 1 Faculty of Liberal Arts and Sciences, Tokyo City University, 1-28-1, Tamadutsumi Setagaya-ku, Tokyo, 158-8557, Japan
- 2 Department of Mathematical Science, Tokyo Metropolitan University, Hachioji, 192-0397, Japan
- 3 Graduate School of Science and Engineering, Chuo University, 1-13-27 Kasuga, Bunkyo-Ku, Tokyo, Japan
- 4 People's Friendship University of Russia, Russian Federation
Ключевые слова
Local Muckenhoupt weight; Modular inequality; Variable exponent; Wavelet
Дата создания
02.11.2020
Дата изменения
02.11.2020
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Другие записи
Acta Crystallographica Section E: Crystallographic Communications.
International Union of Crystallography.
Том 76.
2020.
С. 1454-1457