2025 Boundedness of Variation, Oscillation, and Differential Transform on BMO Space
Wenting Hu, Kai Wu, Dongyong Yang, Chao Zhang
Michigan Math. J. Advance Publication 1-26 (2025). DOI: 10.1307/mmj/20236390

Abstract

In this paper, we prove that the oscillation operator, variation operator, and differential transform associated with the approximate identities are bounded from BMO(Rn) to its subspace BLO(Rn).

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Wenting Hu. Kai Wu. Dongyong Yang. Chao Zhang. "Boundedness of Variation, Oscillation, and Differential Transform on BMO Space." Michigan Math. J. Advance Publication 1 - 26, 2025. https://doi.org/10.1307/mmj/20236390

Information

Received: 30 May 2023; Revised: 5 June 2024; Published: 2025
First available in Project Euclid: 29 January 2025

Digital Object Identifier: 10.1307/mmj/20236390

Keywords: 42B20 , 42B25

Rights: Copyright © 2024 The University of Michigan

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