Izvestiya Rossiiskaya Akademii Nauk, Seriya Geograficheskaya.
Russian Academy of Sciences.
2018.
С. 129-130
Norm convolution inequalities in lebesgue spaces
We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The upper estimate improves on known convolution inequalities. The technique to obtain lower estimates is applied to study boundedness problems for oscillatory integrals. © European Mathematical Society.
Авторы
Nursultanov E.
1,
2
,
Tikhonov S.3,
4,
5
,
Tleukhanova N.6
Издательство
European Mathematical Society Publishing House
Номер выпуска
2
Язык
Английский
Страницы
811-838
Статус
Опубликовано
Ссылка
DOI
Том
34
Год
2018
Организации
- 1 Lomonosov Moscow State University, Kazakhstan Branch, Kazhymukan St. 11, Astana, 010010, Kazakhstan
- 2 RUDN University, 6 Miklukho-Maklay St., Moscow, 117 198, Russian Federation
- 3 Centre de Recerca Matem tica, Campus de Bellaterra, Edifici C, Bellaterra (Barcelona), 08193, Spain
- 4 ICREA, Pg. Lluís Companys 23, Barcelona, 08010, Spain
- 5 Universitat Autònoma de Barcelona, Spain
- 6 Gumilyov Eurasian National University, Satpaev St., 2, Astana, Kazakhsta, 010010, Kazakhstan
Ключевые слова
Convolution; Oscillatory kernels; Young–O’Neil inequality
Дата создания
19.10.2018
Дата изменения
19.10.2018
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Другие записи
Espacios.
Revista Espacios.
Том 39.
2018.