Hardy and Hardy–Littlewood–Pólya operators and their commutators on local fields
Article Type
Research Article
Publication Title
Periodica Mathematica Hungarica
Abstract
We introduce the Hardy and Hardy–Littlewood–Pólya operators on local fields and show that they are bounded on weighted Lebesgue spaces with power weights. Moreover, we compute the precise norms of these operators on these spaces. Further, we prove the boundedness of the commutators generated by these operators and functions with central mean oscillation on Herz spaces, and in particular, on the weighted Lebesgue spaces.
First Page
318
Last Page
334
DOI
10.1007/s10998-024-00589-y
Publication Date
12-1-2024
Recommended Citation
Behera, Biswaranjan, "Hardy and Hardy–Littlewood–Pólya operators and their commutators on local fields" (2024). Journal Articles. 4820.
https://digitalcommons.isical.ac.in/journal-articles/4820
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