Some intersections of Lorentz spaces
F. Abtahi, H. G. Amini, H. A. Lotfi, A. Rejali

TL;DR
This paper introduces and characterizes new intersections of Lorentz spaces on measure spaces, expanding the understanding of their structure and relationships.
Contribution
It defines and analyzes specific intersections of Lorentz spaces, providing new insights into their properties and potential applications.
Findings
Characterization of ILp,Q(X,) spaces
Introduction of ILJ,q(X,) and ILJ,Q(X,) spaces
Structural properties of the new Lorentz space intersections
Abstract
Let (X,\mu) be a measure space. For p, q\in (0,\infty] and arbitrary subsets P,Q of (0,\infty], we introduce and characterize some intersections of Lorentz spaces, denoted by ILp,Q(X,\mu), ILJ,q(X,\mu) and ILJ,Q(X,\mu).
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Taxonomy
TopicsAdvanced Banach Space Theory · Advanced Harmonic Analysis Research · Holomorphic and Operator Theory
