The John-Nirenberg type inequality for non-doubling measures

Yoshihiro Sawano, and Hitoshi Tanaka. "The John-Nirenberg type inequality for non-doubling measures." Studia Mathematica 181.2 (2007): 153-170. <http://eudml.org/doc/284558>.

@article{YoshihiroSawano2007,
abstract = {X. Tolsa defined a space of BMO type for positive Radon measures satisfying some growth condition on $ℝ^\{d\}$. This new BMO space is very suitable for the Calderón-Zygmund theory with non-doubling measures. Especially, the John-Nirenberg type inequality can be recovered. In the present paper we introduce a localized and weighted version of this inequality and, as applications, we obtain some vector-valued inequalities and weighted inequalities for Morrey spaces.},
author = {Yoshihiro Sawano, Hitoshi Tanaka},
journal = {Studia Mathematica},
keywords = {non-doubling measure; John-Nirenberg inequality; RBMO; Morrey space; sharp maximal inequality},
language = {eng},
number = {2},
pages = {153-170},
title = {The John-Nirenberg type inequality for non-doubling measures},
url = {http://eudml.org/doc/284558},
volume = {181},
year = {2007},
}

TY - JOUR
AU - Yoshihiro Sawano
AU - Hitoshi Tanaka
TI - The John-Nirenberg type inequality for non-doubling measures
JO - Studia Mathematica
PY - 2007
VL - 181
IS - 2
SP - 153
EP - 170
AB - X. Tolsa defined a space of BMO type for positive Radon measures satisfying some growth condition on $ℝ^{d}$. This new BMO space is very suitable for the Calderón-Zygmund theory with non-doubling measures. Especially, the John-Nirenberg type inequality can be recovered. In the present paper we introduce a localized and weighted version of this inequality and, as applications, we obtain some vector-valued inequalities and weighted inequalities for Morrey spaces.
LA - eng
KW - non-doubling measure; John-Nirenberg inequality; RBMO; Morrey space; sharp maximal inequality
UR - http://eudml.org/doc/284558
ER -