On Gaussian Lipschitz spaces and the boundedness of Fractional Integrals\n and Fractional Derivatives on them

2009/11/19 by A. Eduardo Gatto, Gatto, A. Eduardo, Wilfredo Urbina +1
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #42C10 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical and Theoretical Analysis #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.0911.3962

openalex publication_date 2009/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce Lipschitz spaces with respect to the Gaussian\nmeasure, and study the boundedness of the fractional integral and fractional\nderivative operators on them.The methods are general enough to provide\nalternative proofs of the ones given in the classical case and moreover can be\nextended to the case of Laguerre and Jacobi expansions too\n

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