John-Nirenberg lemmas for a doubling measure

• Autorzy: Daniel Aalto , Lauri Berkovits , Outi Elina Kansanen , Hong Yue
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 43A85: Analysis on homogeneous spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 204
• Numer: 1
• Strony: 21-37

Daty

wydano

2011

Twórcy

autor

Daniel Aalto

• Department of Mathematics, Aalto University, FI-00076 Aalto, Finland
• Department of Mathematics, Åbo Akademi University, Fänriksgatan 3 B, FIN-20500 Åbo, Finland

autor

Lauri Berkovits

• Department of Mathematics, FI-90014 University of Oulu, Finland

autor

Outi Elina Kansanen

• Institutionen för matematik, Kungliga Tekniska högskolan, 10044 Stockholm, Sweden

autor

Hong Yue

• Department of Mathematics and Informatics, Trine University, Angola, IN 46703, U.S.A.

Identyfikatory

DOI

10.4064/sm204-1-2