A modification of Hardy-Littlewood maximal function on Lie groups
For a real-valued function $f$ on a metric measure space $(X,d,\mu)$ the Hardy-Littlewood centered-ball maximal-function of $f$ is given by the `supremum-norm':$$Mf(x):=\sup_{r>0}\frac{1}{\mu(\mathcal{B}_{x,r})}\int_{\mathcal{B}_{x,r}}|f|d\mu.$$In this note, we replace the supremum-norm on parameter...
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| Autor principal: | |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
Amirkabir University of Technology
2024-04-01
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| coleção: | AUT Journal of Mathematics and Computing |
| Assuntos: | |
| Acesso em linha: | https://ajmc.aut.ac.ir/article_5157_212d9456a5784091781fc5241da54e1e.pdf |
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