Abstrakti
We discuss the dyadic John-Nirenberg space that is a generalization of functions of bounded mean oscillation. A John-Nirenberg inequality, which gives a weak type estimate for the oscillation of a function, is discussed in the setting of medians instead of integral averages. We show that the dyadic maximal operator is bounded on the dyadic John-Nirenberg space and provide a method to construct nontrivial functions in the dyadic John-Nirenberg space. Moreover, we prove that the John-Nirenberg space is complete. Several open problems are also discussed.
Alkuperäiskieli | Englanti |
---|---|
Sivut | 1-18 |
Sivumäärä | 18 |
Julkaisu | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A: MATHEMATICS |
Vuosikerta | 153 |
Numero | 1 |
Varhainen verkossa julkaisun päivämäärä | 2021 |
DOI - pysyväislinkit | |
Tila | Julkaistu - 1 helmik. 2023 |
OKM-julkaisutyyppi | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä |