Garsia-Rodemich spaces: Local Maximal Functions and Interpolation

2017/06/09 by Astashkin, Sergey, Milman, Mario
#42B35 #46B70 #46E30 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1706.03045

Abstract

We characterize the Garsia-Rodemich spaces associated with a rearrangement invariant space via local maximal operators. Let Q₀ be a cube in Rⁿ. We show that there exists s₀∈(0,1), such that for all 0

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