Abstract
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the Lusin area function characterizations, and the g λ {g}{\lambda }^{\ast } function characterizations. The boundedness of the Fourier multipliers on the grand Triebel-Lizorkin-Morrey spaces is also obtained. Copyright © 2025 the author(s), published by De Gruyter.
| Original language | English |
|---|---|
| Article number | 20240085 |
| Journal | Demonstratio Mathematica |
| Volume | 58 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2025 |
Citation
Ho, K.-P. (2025). Grand Triebel-Lizorkin-Morrey spaces. Demonstratio Mathematica, 58(1), Article 20240085. https://doi.org/10.1515/dema-2024-0085Keywords
- Grand Lebesgue spaces
- Morrey spaces
- Triebel-Lizorkin spaces
- Fourier multiplier