The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO
Abstract Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation. As an application we characterize BMO, the bounded mean oscillation, via th...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-10-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2220-6 |
| _version_ | 1818846775092445184 |
|---|---|
| author | Mitsuo Izuki Takahiro Noi Yoshihiro Sawano |
| author_facet | Mitsuo Izuki Takahiro Noi Yoshihiro Sawano |
| author_sort | Mitsuo Izuki |
| collection | DOAJ |
| description | Abstract Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation. As an application we characterize BMO, the bounded mean oscillation, via the norm of X. |
| first_indexed | 2024-12-19T05:50:54Z |
| format | Article |
| id | doaj.art-a48219922a3749e0bf3d915bd215a510 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-19T05:50:54Z |
| publishDate | 2019-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-a48219922a3749e0bf3d915bd215a5102022-12-21T20:33:38ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-10-012019111110.1186/s13660-019-2220-6The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMOMitsuo Izuki0Takahiro Noi1Yoshihiro Sawano2Faculty of Liberal Arts and Sciences, Tokyo City UniversityDepartment of Mathematics and Information Science, Tokyo Metropolitan UniversityDepartment of Mathematics and Information Science, Tokyo Metropolitan UniversityAbstract Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation. As an application we characterize BMO, the bounded mean oscillation, via the norm of X.http://link.springer.com/article/10.1186/s13660-019-2220-642B2542B35 |
| spellingShingle | Mitsuo Izuki Takahiro Noi Yoshihiro Sawano The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO Journal of Inequalities and Applications 42B25 42B35 |
| title | The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO |
| title_full | The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO |
| title_fullStr | The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO |
| title_full_unstemmed | The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO |
| title_short | The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO |
| title_sort | john nirenberg inequality in ball banach function spaces and application to characterization of bmo |
| topic | 42B25 42B35 |
| url | http://link.springer.com/article/10.1186/s13660-019-2220-6 |
| work_keys_str_mv | AT mitsuoizuki thejohnnirenberginequalityinballbanachfunctionspacesandapplicationtocharacterizationofbmo AT takahironoi thejohnnirenberginequalityinballbanachfunctionspacesandapplicationtocharacterizationofbmo AT yoshihirosawano thejohnnirenberginequalityinballbanachfunctionspacesandapplicationtocharacterizationofbmo AT mitsuoizuki johnnirenberginequalityinballbanachfunctionspacesandapplicationtocharacterizationofbmo AT takahironoi johnnirenberginequalityinballbanachfunctionspacesandapplicationtocharacterizationofbmo AT yoshihirosawano johnnirenberginequalityinballbanachfunctionspacesandapplicationtocharacterizationofbmo |