Abstract
We establish the mapping properties of the singular integral operators, the Fourier integral operators and the geometric maximal operators on the Orlicz-slice spaces by using extrapolation. By extending the extrapolation theory to the Hardy Orlicz-slice spaces, we also obtain the mapping properties of the maximal Bochner-Riesz means, the parametric Marcinkiewicz integrals and the multiplier operators on the Hardy Orlicz-slice spaces. Copyright © 2021 Elsevier Inc. All rights reserved.
| Original language | English |
|---|---|
| Article number | 125279 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 503 |
| Issue number | 1 |
| Early online date | 29 Apr 2021 |
| DOIs | |
| Publication status | Published - 01 Nov 2021 |
Citation
Ho, K.-P. (2021). Operators on Orlicz-slice spaces and Orlicz-slice Hardy spaces. Journal of Mathematical Analysis and Applications, 503(1). Retrieved from https://doi.org/10.1016/j.jmaa.2021.125279Keywords
- Orlicz spaces
- Hardy space
- Slice spaces
- Singular integrals
- Maximal functions
- Extrapolation