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....

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Bibliographic Details
Main Author: ZhuoRan Hu
Format: Article
Language:English
Published: Hindawi Limited 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/9821212