Conditions for boundedness into Hardy spaces

We obtain the boundedness from a product of Lebesgue or Hardy spaces into Hardy spaces under suitable cancellation conditions for a large class of multilinear operators that includes the Coifman–Meyer class, sums of products of linear Calderón–Zygmund operators and combinations of these two types. © 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Авторы
Grafakos L. 1 , Nakamura S. 2 , Van Nguyen H. , Sawano Y. 2, 4
Журнал
Mathematische Nachrichten
Издательство
Wiley-VCH Verlag
Номер выпуска
11
Язык
Английский
Страницы
2383-2410
Статус
Опубликовано
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Внешняя ссылка
DOI
10.1002/MANA.201800252
Том
292
Год
2019
Организации
  • 1 Department of Mathematics, University of Missouri, Columbia, MO 65211, United States
  • 2 Department of Mathematical Science, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji, Tokyo, 192-0397, Japan
  • 3 Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487, United States
  • 4 S.M. Nikolskii Institute of Mathematics at RUDN University, Moscow, 117198, Russian Federation
Ключевые слова
42B15; 42B30; cancellation condition; Hardy spaces; multilinear; singular integral operators
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