Boundedness of averaging operators on geometrically doubling metric spaces

DOI10.5186/aasfm.2019.4430zbMath1410.41018arXiv1710.04233OpenAlexW2964126401WikidataQ128347499 ScholiaQ128347499MaRDI QIDQ4632069

Jésus M. Aldaz

Publication date: 25 April 2019

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04233

zbMATH Keywords

averaging operatorsgoemetrically doubling metric spaces

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Related Items (4)

Weak-type lower bounds for high-dimensional Hardy-Littlewood maximal operators on certain measures via averaging operators ⋮ Asymptotically mean value harmonic functions in subriemannian and RCD settings ⋮ Kissing numbers and the centered maximal operator ⋮ Asymptotically mean value harmonic functions in doubling metric measure spaces

Cites Work

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• The Stein-Strömberg covering theorem in metric spaces
• Random martingales and localization of maximal inequalities
• A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
• On the pointwise domination of a function by its maximal function
• Local comparability of measures, averaging and maximal averaging operators
• Kissing numbers and the centered maximal operator
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Sobolev Spaces on Metric Measure Spaces

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