On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient

2024/12/09 by Pedro Miguel Campos, Campos, Pedro Miguel · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2412.06346

Abstract

We introduce a new family of function spaces, the fractional generalized Sobolev-Orlicz spaces Λ^s,A₀(Ω), where A is a generalized Φ-function satisfying the (Inc)_p and (Dec)_q conditions for 1

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