Growth properties for Riesz potentials of functions in weighted variable \(L^{p(\cdot)}\) spaces

DOI10.1016/j.na.2017.06.010zbMath1375.31008OpenAlexW2737850619MaRDI QIDQ2402691

Takao Ohno, Tetsu Shimomura, Yoshihiro Mizuta

Publication date: 13 September 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2017.06.010

zbMATH Keywords

weighted Lebesgue spacesGreen potentialsRiesz potentials

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (2)

Boundary growth of Sobolev functions for double phase functionals ⋮ Boundary growth of generalized Riesz potentials on the unit ball in the variable settings

Cites Work

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• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
• Traces of monotone functions in weighted Sobolev spaces
• Growth properties of hyperplane integrals of Sobolev functions in a half space

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