Continuity properties of Riesz potentials and boundary limits of Beppo Levi functions.
Continuous extendibility of solutions of the Neumann problem for the Laplace equation
A necessary and sufficient condition for the continuous extendibility of a solution of the Neumann problem for the Laplace equation is given.
Continuous extendibility of solutions of the third problem for the Laplace equation
A necessary and sufficient condition for the continuous extendibility of a solution of the third problem for the Laplace equation is given.
Contribution à la théorie de la fonction de Green
Convergence in nonisotropic regions of harmonic functions in
We study the boundedness in of the projections onto spaces of functions with spectrum contained in horizontal strips. We obtain some results concerning convergence along nonisotropic regions of harmonic extensions of functions in with spectrum included in these horizontal strips.
Convergence of Balayage Measures.
Converse mean value theorems on trees and symmetric spaces.
Convex domains and unique continuation at the boundary.
We show that a harmonic function which vanishes continuously on an open set of the boundary of a convex domain cannot have a normal derivative which vanishes on a subset of positive surface measure. We also prove a similar result for caloric functions vanishing on the lateral boundary of a convex cylinder.
Convexity and subharmonicity.
Correction to the paper “On weighted spaces” (Studia Math. 40 (1971), pp. 109-159)
Corrections to the article “The multivelocity Peierls potential in the problem of refining the classical fundamental acoustic potential near the source of sound in a homogeneous Maxwellian gas”.
Corrigendum to the paper "On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in R^{n}" (Studia Mathematica 87 (1987), 23-32)
Criteria for (sub-)harmonicity and continuation of (sub-)harmonic functions.