Abstract
This paper establishes the boundedness of the disc multiplier, the spherical means, the Bochner–Riesz means, the rough singular integral operators, the universal maximal operator and the directional operators on the radial subspace of rearrangement-invariant quasi-Banach function spaces.
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The author thanks the referee for careful reading of the paper and valuable suggestions for improving the presentation.
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Ho, KP. Sublinear operators on radial rearrangement-invariant quasi-Banach function spaces. Acta Math. Hungar. 160, 88–100 (2020). https://doi.org/10.1007/s10474-019-00950-5
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DOI: https://doi.org/10.1007/s10474-019-00950-5
Key words and phrases
- radial function
- rearrangement-invariant
- quasi-Banach function space
- disc multiplier
- spherical mean
- Bochner–Riesz mean
- universal maximal operator
- directional operator