Continuity properties of potentials and Beppo-Levi-Deny functions
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Publication:1261770
zbMath0782.31004MaRDI QIDQ1261770
Publication date: 16 September 1993
Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)
logarithmic potentialsradial limitslimits of meansfine limits\(\alpha\)-Green potentialsboundary behavior of Beppo-Levi-Deny functionscurvilinear limitslimits along a set
Boundary behavior of harmonic functions in higher dimensions (31B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
Related Items (19)
Continuity and differentiability for weighted Sobolev spaces ⋮ Growth properties near the origin for generalized Riesz potentials ⋮ Continuity properties of Riesz potentials of Orlicz functions ⋮ On the solution of a Riesz equilibrium problem and integral identities for special functions ⋮ Orlicz-Sobolev capacity of balls ⋮ Growth properties for Riesz potentials of functions in weighted variable \(L^{p(\cdot)}\) spaces ⋮ Exponential integrability of Riesz potentials of Orlicz functions ⋮ Boundary growth of Sobolev functions for double phase functionals ⋮ Vanishing exponential integrability for Riesz potentials in Morrey–Orlicz spaces ⋮ Growth properties of potentials in central Morrey–Orlicz spaces on the unit ball ⋮ Boundary limits of monotone Sobolev functions for double phase functionals ⋮ Boundary growth of generalized Riesz potentials on the unit ball in the variable settings ⋮ Spherical limits for Riesz potentials of functions in central generalized Orlicz-Morrey spaces on the unit ball ⋮ Remarks on the results by Koskela concerning the radial uniqueness for Sobolev functions ⋮ Estimates for certain Orlicz-Sobolev capacities of an Euclidean ball ⋮ Continuity of Sobolev functions of variable exponent on metric spaces ⋮ Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form ⋮ Weighted Orlicz-Riesz capacity of balls ⋮ Boundary growth of Sobolev functions of monotone type for double phase functionals
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