A weighted weak-type inequality for the one-sided maximal operators

• Date: 2023
• Main Authors: Wang, J., Ren, Y., Zhang, E.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7062
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We obtain some necessary and sufficient conditions for a weighted weak-type inequality of the form $$\int\limits_{\{M_g^{+}(f)>\lambda\}}\widetilde{\varphi}\left(\frac{\lambda}{\omega_{3}(x)\omega_{4}(x)}\right)\omega_{4}(x)\,dx\leq C_1\int\limits_{-\infty}^{+\infty}\widet...