The ultra-distributions of exponential type of J. Sebastião e Silva
Two remarks on the Suita conjecture
It is shown that the weak multidimensional Suita conjecture fails for any bounded non-pseudoconvex domain with -smooth boundary. On the other hand, it is proved that the weak converse to the Suita conjecture holds for any finitely connected planar domain.
Two sided norm estimate of the Bergman projection on spaces
We give some explicit values of the constants and in the inequality where denotes the norm of the Bergman projection on the space.
Two-sided -estimates for Szegö kernels on classical domains
Über das Integral von Temlyakov.
Über das Randverhalten der Bergmannschen Kernfunktion und Metrik für eine spezielle Klasse schwach pseudokonvexer Gebiete des Cn.
Über die 1. und 2. Ableitungen der Bergmanschen Kernfunktion und ihr Randverhalten.
Über die Automorphismengruppe von Ellipsoiden.
(Ultra)differentiable functional calculus and current extension of the resolvent mapping
Let be a tuple of commuting operators on a Banach space . We discuss various conditions equivalent to that the holomorphic (Taylor) functional calculus has an extension to the real-analytic functions or various ultradifferentiable classes. In particular, we discuss the possible existence of a functional calculus for smooth functions. We relate the existence of a possible extension to existence of a certain (ultra)current extension of the resolvent mapping over the (Taylor) spectrum of . If ...
Une formule intégrale pour l"edge of wedge".
Une généralisation de la loi de transformation pour les résidus
Une introduction aux opérateurs de Toeplitz
Une version effective du théorème de Briançon-Skoda dans le cas algébrique discret
Uniform Estimate for the ...-Problem in a Class of Branched Covering of Strictly Pseudoconvex Domains.
Uniform estimates for the Cauchy-Riemann equation on -convex wedges
We study the -equation with Hölder estimates in -convex wedges of by means of integral formulas. If is defined by some inequalities , where the real hypersurfaces are transversal and any nonzero linear combination with nonnegative coefficients of the Levi form of the ’s have at least positive eigenvalues, we solve the equation for each continuous -closed form in , , with the following estimates: if denotes the distance to the boundary of and if is bounded, then for all ,...
Uniform Estimates for the d-Equation on Domains with Piecewise Smooth Strictly Pseudoconvex Boundaries.
Valeurs au bord pour les solutions de l’opérateur , et caractérisation des zéros des fonctions de la classe de Nevanlinna
Values in the interior of the L2-minimal solutions of the ∂∂-equation in the unit ball of Cn.
We derive formulas for the values in the interior of the L2-minimal solutions of the ∂∂-equation in the unit ball of Cn. These formulas generalize previously known formulas for the boundary values of the same solutions. We estimate the solution and obtain a (known) result concerning weighted Nevanlinna classes.
Version réelle de la conjecture de Ramadanov
Weighted Bergman kernel: asymptotic behavior, applications and comparison results
Inspired by the work of Engliš, we study the asymptotic behavior of the weighted Bergman kernel together with an application to the Lu Qi-Keng conjecture. Some comparison results between the weighted and the classical Bergman kernel are also obtained.