Abstract
This paper establishes the mapping properties of the bilinear operators on the ball Banach function spaces. The main result of this paper yields the mapping properties of the bilinear Fourier multipliers, the rough bilinear singular integrals and the bilinear Calderón–Zygmund operators on the ball Banach function spaces. As applications of the main result, we have the mapping properties of the bilinear Fourier multipliers, the rough bilinear singular integrals and the bilinear Calderón–Zygmund operators on the Morrey spaces and the Herz spaces. Copyright © 2024 Mathematica Josephina, Inc.
Original language | English |
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Article number | 337 |
Journal | Journal of Geometric Analysis |
Volume | 34 |
Early online date | Sept 2024 |
DOIs | |
Publication status | Published - 2024 |
Citation
Ho, K.-P. (2024). Bilinear operators on ball Banach function spaces. Journal of Geometric Analysis, 34, Article 337. https://doi.org/10.1007/s12220-024-01786-4Keywords
- Bilinear operator
- Ball Banach function spaces
- Fourier multipliers
- Singular integrals
- Calderón–Zygmund operators
- Morrey spaces
- Herz spaces
- Extrapolation