Zachary spaces \Z^p[\ℝ^\∞ ] and separable\n Banach spaces

2020/10/22 by Hemanata Kalita, Bipan Hazarika, Kalita, Hemanata +3
Mathematics · #26A39 #46B03 #46B20 #46B25 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2010.13627

openalex publication_date 2020/10/22 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We construct Zachary space in R^\∞ and find that this is a Banach\nspace of functions of bounded mean oscillation with order p, 1\≤ p \≤\n\∞ containing the function of bounded mean oscillation BMO[ R_I^\∞]\nas a dense continuous embedding. As an application of R_I^\∞ we\nconstruction mcB, where mcB is separable Banach space and finally we\nconstruct mcZ^p[ mcB].\n

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