Growth properties of analytic and plurisubharmonic functions of finite order.
Growth properties of entire functions depending on a parameter
We study the growth of parameter-dependent entire functions. We are mainly interested in the case where the functions depend holomorphically on the parameter.
spaces in tubes and distributional boundary values
spaces on bounded symmetric domains
H² spaces of generalized half-planes
H² spaces of generalized half-planes
H² spaces of generalized half-planes
Hankel operators and the Dixmier trace on strictly pseudoconvex domains.
Hankel operators and weak factorization for Hardy-Orlicz spaces
We study the holomorphic Hardy-Orlicz spaces , where Ω is the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in ℂⁿ. The function Φ is in particular such that for some p > 0. We develop maximal characterizations, atomic and molecular decompositions. We then prove weak factorization theorems involving the space BMOA(Ω). As a consequence, we characterize those Hankel operators which are bounded from into ¹(Ω).
Hankel Operators on Bergman Spaces with Change of Weight.
Hardy spaces and analytic continuation of Bergman spaces
Hardy spaces of analytic multifunctions.
Harmonic and analytic functions admitting a distribution boundary value
Harmonic Bergman kernel for some balls.
Harmonic functions on classical rank one balls
In questo articolo studieremo le relazioni fra le funzioni armoniche nella palla iperbolica (sia essa reale, complessa o quaternionica), le funzione armoniche euclidee in questa palla, e le funzione pluriarmoniche sotto certe condizioni di crescita. In particolare, estenderemo al caso quaternionico risultati anteriori dell'autore (nel caso reale), e di A. Bonami, J. Bruna e S. Grellier (nel caso complesso).
Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term.
Hartogs theorem for forms : solvability of Cauchy-Riemann operator at critical degree
The Hartogs Theorem for holomorphic functions is generalized in two settings: a CR version (Theorem 1.2) and a corresponding theorem based on it for -closed forms at the critical degree, (Theorem 1.1). Part of Frenkel’s lemma in category is also...
Hayman admissible functions in several variables.
Henkin measures, Riesz products and singular sets
The mutual singularity problem for measures with restrictions on the spectrum is studied. The -pluriharmonic Riesz product construction on the complex sphere is introduced. Singular pluriharmonic measures supported by sets of maximal Hausdorff dimension are obtained.
Henkin-Ramirez formulas with weight factors
We construct a generalization of the Henkin-Ramírez (or Cauchy-Leray) kernels for the -equation. The generalization consists in multiplication by a weight factor and addition of suitable lower order terms, and is found via a representation as an “oscillating integral”. As special cases we consider weights which behave like a power of the distance to the boundary, like exp- with convex, and weights of polynomial decrease in . We also briefly consider kernels with singularities on subvarieties...