Perturbation of Harmonic Spaces and Construction of Semigroups.
Phragmén-Lindelöf theorems for subharmonic functions on the unit disk.
Planar harmonic univalent and related mappings.
Plurisubharmonic saddles
A certain linear growth of the pluricomplex Green function of a bounded convex domain of at a given boundary point is related to the existence of a certain plurisubharmonic function called a “plurisubharmonic saddle”. In view of classical results on the existence of angular derivatives of conformal mappings, for the case of a single complex variable, this allows us to deduce a criterion for the existence of subharmonic saddles.
Principal solution of the Dirichlet problem in potential theory (Preliminary communication)
Principe de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien
L’article étudie le compactifié de Martin d’un domaine lipschitzien relativement à un opérateur elliptique à coefficients hödériens ; on étend aux fonctions -harmoniques et aux fonctions -harmoniques adjointes sur une estimation de -Carleson pour le cas , puis on établit un “principe de Harnack à la frontière” comparant l’allure à la frontière de fonctions -harmoniques sur . Conséquences : , et normalisée en ; un théorème de type Fatou-Doob sur l’existence de limites angulaires.On...
Problème de Neumann sur les espaces harmoniques.
Propriétés analytiques du spèctre dans les algèbres de Jordan-Banach.
Quasi-analyticité et approximation sur la frontière d'un ouvert quelconque, dans la théorie axiomatique des fonctions harmoniques
Quasiconformal Harmonic Functions Between Convex Domains
Radial limits of superharmonic functions in the plane
Radial variation of functions in Besov spaces.
Rectifiability, analytic capacity, and singular integrals.
Regularity of The Complex Monge-Ampere Equation for Radially Symmetric Functions of the Unit Ball.
Removable sets for Lipschitz harmonic functions in the plane.
The main motivation for this work comes from the century-old Painlevé problem: try to characterize geometrically removable sets for bounded analytic functions in C.
Retour sur la théorie de Littlewood-Paley
Sălăgean-type harmonic multivalent functions.
Schwarz-Christoffel mapping in the computer era.
Semiregulární množiny v harmonických prostorech
Sharp inequalities for conjugate functions
We give a method for constructing functions and for which has a specified subharmonic minorant . By a theorem of B. Cole, this procedure establishes integral mean inequalities for conjugate functions. We apply this method to deduce sharp inequalities for conjugates of functions in the class , for . In particular, the case yields an improvement of Pichorides’ form of Zygmund’s classical inequality for the conjugates of functions in . We also apply the method to produce a new proof of the...