Real Analysis Exchange https://ojs.msupress.org/index.php/RAE <div align="center"><h1 style="color: #228b22;">Welcome to the <em>Real Analysis Exchange</em> Website</h1><h1> </h1><p><span style="color: black; font-size: small;">The Real Analysis Exchange is a <span style="color: green;">RoMEO GREEN</span> journal, allowing authors to archive pre-print and post-print versions of their own work or to post the final press pdf version of their own work.</span></p><hr /><span style="color: red; font-size: medium;"><em>Latest News</em></span></div><p> </p><center><p><strong><span style="font-size: large;">The Paris Symposium</span> </strong></p></center><p><span style="font-size: medium;">The 44th Summer Symposium in Real Analysis has been rescheduled for October 5-9, 2020 and will be held in Paris and Orsay. Details and additional information can be found <a href="https://ssra44.sciencesconf.org/" target="_blank">here </a>.</span></p> en-US Real Analysis Exchange You must sign THIS CONTRACT when your piece is accepted. Editorial Messages https://ojs.msupress.org/index.php/RAE/article/view/5441 Paul D. Humke Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 Dynamics of Certain Distal Actions on Spheres https://ojs.msupress.org/index.php/RAE/article/view/5446 Riddhi Shah Alok K. Yadav Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 The Inequality of Milne and its Converse, III https://ojs.msupress.org/index.php/RAE/article/view/5447 Horst Alzer Alexander Kovačec Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 Erdős Semi-groups, Arithmetic Progressions, and Szemerédi's Theorem https://ojs.msupress.org/index.php/RAE/article/view/5448 Han Yu Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 Hardy-Littlewood Maximal Operator on the Associate Space of a Banach Function Space https://ojs.msupress.org/index.php/RAE/article/view/5449 Alexei Y. Karlovich Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 Some Characterizations of the Preimage of A<sub>∞</sub> for the Hardy-Littlewood Maximal Operator and Consequences https://ojs.msupress.org/index.php/RAE/article/view/5450 Álvaro Corvalán Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 On the Speed of Convergence in the Strong Density Theorem https://ojs.msupress.org/index.php/RAE/article/view/5451 Panagiotis Georgopoulos Constantinos Gryllakis Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 The Weak Integral by Partitions of Unity https://ojs.msupress.org/index.php/RAE/article/view/5452 Redouane Sayyad Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 On the Dimension and Measure of Inhomogeneous Attractors https://ojs.msupress.org/index.php/RAE/article/view/5453 Stuart A. Burrell Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 On the Steinhaus Property and Ergodicity via the Measure-Theoretic Density of Sets https://ojs.msupress.org/index.php/RAE/article/view/5454 Alexander Kharazishvili Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 A Didactic Note on Classic Function Spaces and the Fourier Transform https://ojs.msupress.org/index.php/RAE/article/view/5455 Sandra Lucente Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 Constructive Analysis on Banach Spaces https://ojs.msupress.org/index.php/RAE/article/view/5442 Tepper L. Gill Timothy Myers Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 Strictly Singular Operators on Banach Lattices https://ojs.msupress.org/index.php/RAE/article/view/5443 Francisco L. Hernández Evgeny M. Semenov Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 Distribution of Polynomials in Many Variables and Nikolskii–Besov Spaces https://ojs.msupress.org/index.php/RAE/article/view/5444 Vladimir I. Bogachev Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1 The Union Problem and the Category Problem of Sets of Uniqueness in the Theory of Orthogonal Series https://ojs.msupress.org/index.php/RAE/article/view/5445 Natalia Kholshchevnikova Copyright (c) 2019 Real Analysis Exchange 2019-05-10 2019-05-10 44 1