Kakeya Inequalities by Maximal Functions in Hardy Spaces
In this paper, we will introduce and study several types of Kakeya inequalities by the maximal functions in Hardy spaces in ℝn, n≥2, and we could obtain several inequalities associated with the Kakeya inequalities. We will show that MδSα,βtfp≲p,n,φ,ε1/δ5n/r+2εfp, when fx∈Lpℝn and suppf^ξ⊆B0,1....
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/9821212 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this paper, we will introduce and study several types of Kakeya inequalities by the maximal functions in Hardy spaces in ℝn, n≥2, and we could obtain several inequalities associated with the Kakeya inequalities. We will show that MδSα,βtfp≲p,n,φ,ε1/δ5n/r+2εfp, when fx∈Lpℝn and suppf^ξ⊆B0,1. |
|---|---|
| ISSN: | 2314-8888 |