Riesz Potentials, Bessel Potentials and Fractional Derivatives on\n Triebel-Lizorkin spaces for the Gaussian Measure

2012/09/27 by A. Eduardo Gatto, Gatto, A. Eduardo, Ebner Pineda +3
Mathematics · #26A24 #42C10 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1209.6133

openalex publication_date 2012/09/27 · openalex created_date 2022/09/22 · openalex updated_date 2026/07/28

Abstract

In a previous paper the boundedness properties of Riesz Potentials, Bessel\npotentials and Fractional Derivatives were studied in detail on Gaussian\nBesov-Lipschitz spaces B_p,q^\α(\γ_d). In this paper we will\ncontinue our study proving the boundedness of those operators on Gaussian\nTriebel-Lizorkin spaces F_p,q^\α(\γ_d). Also these results can be\nextended to the case of Laguerre or Jacobi expansions and even further to the\ngeneral framework of diffusions semigroups.\n

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