Boundedness of averaging operators on geometrically doubling metric spaces
Author
Aldaz, Jesús M.Entity
UAM. Departamento de MatemáticasPublisher
Suomalainen Tiedeakatemia, Academia Scientiarum FennicaDate
2019-01-01Citation
10.5186/aasfm.2019.4430
Annales Academiæ Scientiarum Fennicæ Mathematica 44 (2019): 497–503
ISSN
1239-629XDOI
10.5186/aasfm.2019.4430Editor's Version
https://doi.org/10.5186/aasfm.2019.4430Subjects
Averaging operators; Goemetrically doubling metric spaces; MatemáticasRights
© 2019, Annales Academiæ Scientiarum Fennicæ MathematicaAbstract
We prove that averaging operators are uniformly bounded on L p for all geometrically doubling metric measure spaces and all 1 ≤ p < ∞, with bounds independent of the measure. From this result, the L p convergence of averages as r → 0 immediately follows
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Google Scholar:Aldaz, Jesús M.
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