MMN-4045

On the comparison of the Marcinkiewicz and Luxemburg norms of the exponential space

István Mező;

Abstract

The exponential space, which is a Banach function space, can be defined with two very differently looking but equivalent norms. In this paper we give estimates for the best constants of the ratio of these two norms. Our result answers a question of C. Bennett, and R. Sharpley.


Vol. 24 (2023), No. 2, pp. 909-914
DOI: 10.18514/MMN.2023.4045


Download: MMN-4045