The John-Nirenberg inequality for functions of bounded mean oscillation with bounded negative part

Min Hu; Dinghuai Wang

Czechoslovak Mathematical Journal (2022)

  • Volume: 72, Issue: 4, page 1121-1131
  • ISSN: 0011-4642

Abstract

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A version of the John-Nirenberg inequality suitable for the functions b ∈ BMO with b - ∈ L ∞ is established. Then, equivalent definitions of this space via the norm of weighted Lebesgue space are given. As an application, some characterizations of this function space are given by the weighted boundedness of the commutator with the Hardy-Littlewood maximal operator.

How to cite

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Hu, Min, and Wang, Dinghuai. "The John-Nirenberg inequality for functions of bounded mean oscillation with bounded negative part." Czechoslovak Mathematical Journal 72.4 (2022): 1121-1131. <http://eudml.org/doc/298917>.

@article{Hu2022,
abstract = {A version of the John-Nirenberg inequality suitable for the functions $b\in \{\rm BMO\}$ with $b^\{-\}\in L^\{\infty \}$ is established. Then, equivalent definitions of this space via the norm of weighted Lebesgue space are given. As an application, some characterizations of this function space are given by the weighted boundedness of the commutator with the Hardy-Littlewood maximal operator.},
author = {Hu, Min, Wang, Dinghuai},
journal = {Czechoslovak Mathematical Journal},
keywords = {bounded mean oscillation; commutator; Hardy-Littlewood maximal operator; John-Nirenberg inequality},
language = {eng},
number = {4},
pages = {1121-1131},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The John-Nirenberg inequality for functions of bounded mean oscillation with bounded negative part},
url = {http://eudml.org/doc/298917},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Hu, Min
AU - Wang, Dinghuai
TI - The John-Nirenberg inequality for functions of bounded mean oscillation with bounded negative part
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 4
SP - 1121
EP - 1131
AB - A version of the John-Nirenberg inequality suitable for the functions $b\in {\rm BMO}$ with $b^{-}\in L^{\infty }$ is established. Then, equivalent definitions of this space via the norm of weighted Lebesgue space are given. As an application, some characterizations of this function space are given by the weighted boundedness of the commutator with the Hardy-Littlewood maximal operator.
LA - eng
KW - bounded mean oscillation; commutator; Hardy-Littlewood maximal operator; John-Nirenberg inequality
UR - http://eudml.org/doc/298917
ER -

References

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