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math.AP2026
Fractional gradients and nonlocal PDEs in variable exponent spaces
Susana Moura, Cornelia Schneider
We develop a theory of distributional Riesz fractional gradients in variable exponent Lebesgue spaces and introduce the associated nonlocal Sobolev spaces. Moreover, Sobolev, Hardy…
math.FA2026
Compact embeddings of generalised Morrey smoothness spaces on bounded domains
Dorothee D. Haroske, Susana D. Moura, Leszek Skrzypczak
We study embeddings within different scales of generalised smoothness Morrey spaces defined on bounded smooth domains, i.e., in , $\mathcal{E}^s_{φ,p,q}(Ω…