Geodesic
John–Nirenberg lemmas for a doubling measure
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.
Studia Mathematica, Tome 204 (2011) no. 1, pp. 21-37 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm204-1-2
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

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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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

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