Le problème du sur un espace de Hilbert
L’équation avec décroissance au bord sur certains ouverts convexes d’un espace de Banach
Liouville's theorem for first-order partial differential operators
LP and Lipschitz Estimates for the ... Equation and the ...-Neumann Problem.
Mesures de Carleson d’ordre et solutions au bord de l’équation
Microlocalisation et estimations pour ... Dans quelques hypersurfaces pseudoconvexes.
Microlocalisation et estimations pour
Microlocalisation hypo-analytique et extension holomorphe de fonctions C. R.
Multipliers and weighted ∂ operator estimates.
We study estimates for the solution of the equation du=f in one variable. The new ingredient is the use of holomorphic functions with precise growth restrictions in the construction of explicit solution to the equation.
On generalized Cauchy-Riemann equations on manifolds
On Integral Representations and a priori Lipschitz Estimates for the Canonical Solution of the ...-Equation.
On iterations of Green type integrals for matrix factorizations of the Laplace operator
Convergence of special Green integrals for matrix factorization of the Laplace operator in is proved. Explicit formulae for solutions of -equation in strictly pseudo-convex domains in are obtained.
On ∂̅-problems on (pseudo)-convex domains
In this survey we shall tour the area of multidimensional complex analysis which centers around ∂̅-problems (i.e., the Cauchy-Riemann equations) on pseudoconvex domains. Along the way we shall highlight some of the classical milestones as well as more recent landmarks, and we shall discuss some of the major open problems and conjectures. For the sake of simplicity we will only consider domains in ; intriguing phenomena occur already in the simple setting of (Euclidean) convex domains. We will not...
On the absence of Poincaré lemma for some systems of partial differential equations
On the absence of Poincaré lemma in tangential Cauchy-Riemann complexes
On the Maximum Modulus Principle for the Tangential Cauchy-Riemann Equations.
On the parameter dependence of solutions to the ...-equation.
On the theorem of Frobenius for complex vector fields
On weighted estimated for some systems of partial differential operators
Optimal Lipschitz and LP Regularity for the Equation ...u = f on Strongly Pseudo-Convex Domains.