Convergence of Fourier series at or beyond endpoint

2011/03/03 by Shunchao Long, Long, Shunchao
Mathematics · #42A20 #42B05 #42B20 #42B25 #42B35 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1103.0618

openalex publication_date 2011/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider several problems at or beyond endpoint in harmonic analysis. The solutions of these problems are related to the estimates of some classes of sublinear operators. To do this, we introduce some new functions spaces RL^p,s_|x|^α(\bf Rⁿ) and RL^p,s_|x|^α(\bf Rⁿ), which play an analogue role with the classical Hardy spaces H^p(\bf Rⁿ). These spaces are subspaces of L^p_|x|^α(\bf Rⁿ) with 1

Citations

• Une série de Fourier-Lebesgue divergente presque partout

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