A generalization of the Littlewood-Paley inequality for the fractional Laplacian (-Δ)^α/2

2010/06/15 by Ildoo Kim, Kim, Ildoo, Kyeong-Hun Kim +1
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #math.FA

paper · pdf · doi:10.48550/arxiv.1006.2898

arxiv created 2010/06/15 · openalex publication_date 2010/06/15 · arxiv updated 2010/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We prove a parabolic version of the Littlewood-Paley inequality for the fractional Laplacian (-Δ)^α/2, where α∈ (0,2).

Citations

• Symmetric Stable Laws and Stable-Like Jump-Diffusions

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