Boundedness of averaging operators on geometrically doubling metric spaces
Autor (es)
Aldaz, Jesús M.Entidad
UAM. Departamento de MatemáticasEditor
Suomalainen Tiedeakatemia, Academia Scientiarum FennicaFecha de edición
2019-01-01Cita
10.5186/aasfm.2019.4430
Annales Academiæ Scientiarum Fennicæ Mathematica 44 (2019): 497–503
ISSN
1239-629XDOI
10.5186/aasfm.2019.4430Versión del editor
https://doi.org/10.5186/aasfm.2019.4430Materias
Averaging operators; Goemetrically doubling metric spaces; MatemáticasDerechos
© 2019, Annales Academiæ Scientiarum Fennicæ MathematicaResumen
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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