A note about associate and dual spaces to the Grand Lebesgue ones
E. Ostrovsky, L. Sirota
TL;DR
This paper explores the associate and dual spaces of Grand Lebesgue Spaces by embedding them into exponential Orlicz spaces, providing a clearer understanding of their structure.
Contribution
It introduces a method to describe the associate and dual spaces of Grand Lebesgue Spaces via embedding into exponential Orlicz spaces, offering new insights.
Findings
Characterization of associate spaces through embedding
Description of dual (conjugate) spaces using Orlicz spaces
Enhanced understanding of the structure of Grand Lebesgue Spaces
Abstract
We describe in this short article the associate and dual (conjugate) spaces to the Grand Lebesgue Spaces by means of its embedding to the suitable exponential Orlicz ones.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Banach Space Theory · Mathematical Analysis and Transform Methods