Several inequalities concerning interpolation in classical Fourier analysis

2023/03/02 by Zhang, Runzhe, Wang, Hua
#42B20 #42B25 #42B35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.01981

Abstract

In this note, we establish several interpolation inequalities in \mathbb Rⁿ in the Lebesgue spaces and Morrey spaces. By using the classical Calderon--Zygmund decomposition, we will reprove that L^p(\mathbb Rⁿ)\capBMO(\mathbb Rⁿ)⊂ L^q(\mathbb Rⁿ) for all q with p

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