On the Continuous embeddings between the fractional Hajłasz-Orlicz-Sobolev spaces

2023/05/01 by Azeddine Baalal, Baalal, Azeddine, Mohamed Berghout +3
Mathematics · Immunology and Microbiology · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Biomarkers in Disease Mechanisms

paper · pdf · doi:10.48550/arxiv.2305.00878

Abstract

Let G be an Orlicz function and let α, β, s be positive real numbers. Under certain conditions on the Orlicz function G , we establish some continuous embeddings results between the fractional order Orlicz-Sobolev spaces defined on metric-measure spaces W_s^{α, G}(X, d, μ) and the fractional Hajłasz-Orlicz-Sobolev spaces M^{β, G}(X,d,μ).

Related

• Boundedness of functions in fractional Orlicz-Sobolev spaces
• Introduction to fractional Orlicz-Sobolev spaces
• Fractional Orlicz-Sobolev embeddings
• Basic results of fractional Orlicz-Sobolev space and applications to non-local problems
• On the modulus of continuity of fractional Orlicz-Sobolev functions