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M‐constants in Orlicz–Lorentz function spaces
Author(s) -
Cui Yunan,
Foralewski Paweł,
Hudzik Henryk
Publication year - 2019
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700337
Subject(s) - mathematics , lorentz transformation , lorentz space , pure mathematics , birnbaum–orlicz space , class (philosophy) , function (biology) , constant (computer programming) , function space , mathematical analysis , interpolation space , functional analysis , physics , quantum mechanics , biochemistry , chemistry , artificial intelligence , evolutionary biology , biology , computer science , gene , programming language
In this paper some lower and upper estimates of M ‐constants for Orlicz–Lorentz function spaces for both, the Luxemburg and the Amemiya norms, are given. Since degenerated Orlicz functions φ and degenerated weighted sequences ω are also admitted, this investigations concern the most possible wide class of Orlicz–Lorentz function spaces. M ‐constants were defined in 1969 by E. A. Lifshits, and used by many authors in the study of lattice structures on Banach spaces, as well as in the fixed point theory.