A(infinity) constants between BMO and weighted BMO

作者：Tsutsui Yohei^*

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2014, 90(1): 11-14.

DOI：10.3792/pjaa.90.11

• BMO
• Muckenhoupt classes

In this short article, we consider estimates of the ratio
parallel to f parallel to(BMO(omega))/parallel to f parallel to(BMO)
from above and below, where omega belongs to Muckenhoupt class A(infinity). The upper bound of the ratio was proved by Hytonen and Perez in [6] with the optimal power. We establish the lower bound of the ratio and give two other proofs of the upper bound.

• 出版日期2014-1