Frontiers of Mathematics in China >
Commutators of maximal functions on spaces of homogeneous type and their weighted, local versions
Received date: 21 Dec 2020
Accepted date: 10 Feb 2021
Copyright
We obtain the characterizations of commutators of several versions of maximal functions on spaces of homogeneous type. In addition, with the aid of interpolation theory, we provide weighted version of the commutator theorems by establishing new characterizations of the weighted BMO space. Finally, a concrete example shows that the local version of commutators also has an independent interest.
Key words: Maximal function; space of homogeneous type; BMO space; weight; commutator
Zunwei FU , Elodie POZZI , Qingyan WU . Commutators of maximal functions on spaces of homogeneous type and their weighted, local versions[J]. Frontiers of Mathematics in China, 2022 , 17(4) : 625 -652 . DOI: 10.1007/s11464-021-0912-y
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