Quantitative Non-Compactness Properties of the Fourier Transform on Optimal Spaces

2025/05/06 by Edmunds, David E., Gurka, Petr, Lang, Jan
#42B25 #47B06 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2505.03962

Abstract

We establish that the Fourier transform F: L^p(ℝ^d)→ L^p',p(ℝ^d), for d∈ℕ and 1

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