Sharp transference principle for $\mathrm{BMO}$ and $A_p$

Autor:	Stolyarov, Dmitriy, Zatitskiy, Pavel
Rok vydání:	2019
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	We provide a version of the transference principle. It says that certain optimization problems for functions on the circle, the interval, and the line have the same answers. In particular, we show that the sharp constants in the John--Nirenberg inequalities for naturally defined $\mathrm{BMO}$-spaces on the circle, the interval, and the line coincide. The same principle holds true for the Reverse H\"older inequality for Muckenhoupt weights. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.09497 Zobrazit plný text záznamu View this record from Arxiv