Variable Herz estimates for fractional integral operators

• Date: 2020
• Main Author: Heraiz , R.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6024
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 In this paper, the author study the boundedness of fractional integral operators on a variable Herz-type Hardy space $HK^{\alpha (\cdot )}_{p(\cdot ),q(\cdot )}(\mathbb{R}^n)$ by using the atomic decomposition.