Modified Hardy-Littlewood maximal operators on nondoubling metric measure spaces

DOI10.5186/AASFM.2015.4024zbMath1403.42023OpenAlexW2059578494MaRDI QIDQ3194656

Krzystztof Stempak

Publication date: 20 October 2015

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

Full work available at URL: https://doi.org/10.5186/aasfm.2015.4024

zbMATH Keywords

weak type \((1,1)\)metric measure spacenon-doubling measuremodified Hardy-Littlewood maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (10)

Besicovitch and doubling type properties in metric spaces ⋮ Boundedness properties of maximal operators on Lorentz spaces ⋮ Gagliardo--Nirenberg inequality for generalized Riesz potentials of functions in Musielak--Orlicz spaces over quasi-metric measure spaces ⋮ Maximal operator on Orlicz spaces of two variable exponents over unbounded quasi-metric measure spaces ⋮ Fractional maximal operator on Musielak-Orlicz spaces over unbounded quasi-metric measure spaces ⋮ Local Morrey and Campanato spaces on quasimetric measure spaces ⋮ Geometric properties of infinite graphs and the Hardy-Littlewood maximal operator ⋮ Examples of metric measure spaces related to modified Hardy-Littlewood maximal operators ⋮ Maximal operators on Lorentz spaces in non-doubling setting ⋮ On relations between weak and strong type inequalities for modified maximal operators on non-doubling metric measure spaces

Cites Work

• Unnamed Item
• Unnamed Item
• The discrete maximal operator in metric spaces
• A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
• Lectures on analysis on metric spaces
• Outer measures and weak type \((1,1)\) estimates of Hardy-Littlewood maximal operators
• An example on the maximal function associated to a nondoubling measure
• Sharp estimates of the modified Hardy-Littlewood maximal operator on the nonhomogeneous space via covering lemmas
• Local maximal operators on measure metric spaces
• On the domain and range of the maximal operator

This page was built for publication: Modified Hardy-Littlewood maximal operators on nondoubling metric measure spaces