Compact Sets in Bide - Side Grand Lebesgue Spaces, with Applications

2009/02/17 by E. Ostrovsky, Ostrovsky, Eugene, L. Sirota +1
Mathematics · #46A11 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.0902.2916

openalex publication_date 2009/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we find some sufficient conditions for the set in the Bilateral Grand Lebesgue Space to be compact set. We consider applications into numerical methods and in the basis problem.

Citations

• Nikol'skii-type inequalities for rearrangement invariant spaces

Related

• Bilateral Small Lebesgue Spaces
• A note about associate and dual spaces to the Grand Lebesgue ones
• A Computer Verified Theory of Compact Sets
• Integral Operators in Bilateral Grand Lebesgue Spaces
• Some implications of Lebesgue decomposition