John-Nirenberg lemmas for a doubling measure

Daniel Aalto; Lauri Berkovits; Outi Elina Kansanen; Hong Yue

Studia Mathematica (2011)

  • Volume: 204, Issue: 1, page 21-37
  • ISSN: 0039-3223

Abstract

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We study, in the context of doubling metric measure spaces, a class of BMO type functions defined by John and Nirenberg. In particular, we present a new version of the Calderón-Zygmund decomposition in metric spaces and use it to prove the corresponding John-Nirenberg inequality.

How to cite

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Daniel Aalto, et al. "John-Nirenberg lemmas for a doubling measure." Studia Mathematica 204.1 (2011): 21-37. <http://eudml.org/doc/285422>.

@article{DanielAalto2011,
abstract = {We study, in the context of doubling metric measure spaces, a class of BMO type functions defined by John and Nirenberg. In particular, we present a new version of the Calderón-Zygmund decomposition in metric spaces and use it to prove the corresponding John-Nirenberg inequality.},
author = {Daniel Aalto, Lauri Berkovits, Outi Elina Kansanen, Hong Yue},
journal = {Studia Mathematica},
keywords = {John-Nirenberg lemma; doubling measure; Calderón-Zygmund decomposition},
language = {eng},
number = {1},
pages = {21-37},
title = {John-Nirenberg lemmas for a doubling measure},
url = {http://eudml.org/doc/285422},
volume = {204},
year = {2011},
}

TY - JOUR
AU - Daniel Aalto
AU - Lauri Berkovits
AU - Outi Elina Kansanen
AU - Hong Yue
TI - John-Nirenberg lemmas for a doubling measure
JO - Studia Mathematica
PY - 2011
VL - 204
IS - 1
SP - 21
EP - 37
AB - We study, in the context of doubling metric measure spaces, a class of BMO type functions defined by John and Nirenberg. In particular, we present a new version of the Calderón-Zygmund decomposition in metric spaces and use it to prove the corresponding John-Nirenberg inequality.
LA - eng
KW - John-Nirenberg lemma; doubling measure; Calderón-Zygmund decomposition
UR - http://eudml.org/doc/285422
ER -

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