Sharp transference principle for BMO and Ap

Standard

Sharp transference principle for BMO and A_p. / Stolyarov, Dmitriy ; Zatitskiy, Pavel.

In: Journal of Functional Analysis, Vol. 281, No. 6, 109085, 01.09.2021.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{d5bf23f5d1094bfaaf400fabe85ff7f0,

title = "Sharp transference principle for BMO and Ap",

abstract = "We prove a transference principle that 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 BMO-spaces on the circle, the interval, and the line coincide. The same principle holds true for the Reverse H{\"o}lder inequality for Muckenhoupt weights.",

keywords = "Bellman function, BMO, Muckenhoupt weight, Transference principle, BELLMAN FUNCTION, EXTREMAL PROBLEMS",

author = "Dmitriy Stolyarov and Pavel Zatitskiy",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2021",

month = sep,

day = "1",

doi = "10.1016/j.jfa.2021.109085",

language = "English",

volume = "281",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Elsevier",

number = "6",

}

RIS

TY - JOUR

T1 - Sharp transference principle for BMO and Ap

AU - Stolyarov, Dmitriy

AU - Zatitskiy, Pavel

PY - 2021/9/1

Y1 - 2021/9/1

N2 - We prove a transference principle that 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 BMO-spaces on the circle, the interval, and the line coincide. The same principle holds true for the Reverse Hölder inequality for Muckenhoupt weights.

AB - We prove a transference principle that 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 BMO-spaces on the circle, the interval, and the line coincide. The same principle holds true for the Reverse Hölder inequality for Muckenhoupt weights.

KW - Bellman function

KW - BMO

KW - Muckenhoupt weight

KW - Transference principle

KW - BELLMAN FUNCTION

KW - EXTREMAL PROBLEMS

UR - http://www.scopus.com/inward/record.url?scp=85105441764&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2021.109085

DO - 10.1016/j.jfa.2021.109085

M3 - Article

AN - SCOPUS:85105441764

VL - 281

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 6

M1 - 109085

ER -

ID: 88659478