1Department of Mathematics Aalto University FI-00076 Aalto, Finland Current address: Department of Mathematics Åbo Akademi University Fänriksgatan 3 B FIN-20500 Åbo, Finland 2Department of Mathematics FI-90014 University of Oulu Finland 3Institutionen för matematik Kungliga Tekniska högskolan 10044 Stockholm, Sweden 4Department of Mathematics and Informatics Trine University Angola, IN 46703, U.S.A.
Studia Mathematica, Tome 204 (2011) no. 1, pp. 21-37
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.
Keywords:
study context doubling metric measure spaces class bmo type functions defined john nirenberg particular present version calder zygmund decomposition metric spaces prove corresponding john nirenberg inequality
Affiliations des auteurs :
Daniel Aalto
1
;
Lauri Berkovits
2
;
Outi Elina Kansanen
3
;
Hong Yue
4
1
Department of Mathematics Aalto University FI-00076 Aalto, Finland Current address: Department of Mathematics Åbo Akademi University Fänriksgatan 3 B FIN-20500 Åbo, Finland
2
Department of Mathematics FI-90014 University of Oulu Finland
3
Institutionen för matematik Kungliga Tekniska högskolan 10044 Stockholm, Sweden
4
Department of Mathematics and Informatics Trine University Angola, IN 46703, U.S.A.
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author = {Daniel Aalto and Lauri Berkovits and Outi Elina Kansanen and Hong Yue},
title = {John{\textendash}Nirenberg lemmas for a doubling measure},
journal = {Studia Mathematica},
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url = {http://geodesic.mathdoc.fr/articles/10.4064/sm204-1-2/}
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AU - Daniel Aalto
AU - Lauri Berkovits
AU - Outi Elina Kansanen
AU - Hong Yue
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Daniel Aalto; Lauri Berkovits; Outi Elina Kansanen; Hong Yue. John–Nirenberg lemmas for a doubling measure. Studia Mathematica, Tome 204 (2011) no. 1, pp. 21-37. doi: 10.4064/sm204-1-2
