Restricting Riesz-Morrey-Hardy potentials

DOI10.1016/j.jde.2017.02.003zbMath1364.31001OpenAlexW2587660616MaRDI QIDQ515507

Li Guang Liu, Jie Xiao

Publication date: 16 March 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.02.003

zbMATH Keywords

Riesz operatorMorrey-Hardy spaceMorrey-Radon space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (15)

Boundedness of certain bilinear operators on vanishing generalized Morrey spaces ⋮ Cordes–Nirenberg's imbedding and restricting with application to an elliptic equation ⋮ Two-weight norm inequalities for local fractional integrals on Gaussian measure spaces ⋮ Vanishing solution of Leray equation in 3-space ⋮ Fractional Hardy-Sobolev \(L^1\)-embedding per capacity-duality ⋮ A trace law for the Hardy-Morrey-Sobolev space ⋮ Adams’ trace principle in Morrey–Lorentz spaces on β-Hausdorff dimensional surfaces ⋮ Fourier transform decay of distributions in Hardy-Morrey spaces ⋮ Morrey's fractional integrals in Campanato-Sobolev's space and \(\operatorname{div}F=f\) ⋮ Restricting Riesz-logarithmic-Besov potentials ⋮ New characterizations of Morrey spaces and their preduals with applications to fractional Laplace equations ⋮ Gradient potential estimates for elliptic obstacle problems ⋮ Weighted norm inequalities for local fractional integrals on Gaussian measure spaces ⋮ Nonlinear biharmonic equation in half-space with rough Neumann boundary data and potentials ⋮ Mean Hölder-Lipschitz potentials in curved Campanato-Radon spaces and equations \((-\Delta)^{\frac{\alpha}{2}}u=\mu = F_k[u\)]

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