Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis

From MaRDI portal
Publication:2537510

DOI10.1007/BF01351561zbMath0189.09702MaRDI QIDQ2537510

Enrique Ramírez de Arellano

Publication date: 1970

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/161920




Related Items

Estimates for derivatives of holomorphic functions in pseudoconvex domainsCR-microfunctions and the Henkin-Ramirez reproducing kernelSolvability of the Gleason problem on a class of bounded pseudoconvex domainsHölder and $L^p$ estimates for solutions of $\overline \partial u = f$ in strongly pseudoconvex domainsHardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal SmoothnessUniform estimates for \(\bar \partial\) on the intersection of two strictly pseudoconvex \(\mathbb C^2\)-domains without transversality conditionSharp Lpestimates for the ∂bequation on the boundaries of real ellipsoids in CnEstimations limites pour la solution canonique de l'équation \({\bar \partial}u=f\). (Limit estimates for the canonical solution of the equation \({\bar \partial}u=f)\)Holomorphic approximation on totally real submanifolds of a complex manifoldL'équation $\overline \partial $ dans certains domaines faiblement convexesUnnamed ItemHarmonic analysis of several complex variables: a surveyThe Cauchy integral in \(\mathbb{C}^n\) for domains with minimal smoothnessLösungsoperatoren für den Cauchy-Riemann-Komplex mit \(\mathcal C^K\)- AbschätzungenHölder estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundaryFrom Cauchy, via Martinelli-Bochner and Leray, to the Henkin-Ramirez kernelHenkin-Ramirez kernels with weight factorsUniform estimates for the ∂̄-equation on intersections of strictly pseudoconvex domainsAnalytic formulas for the topological degree of non-smooth mappings: The odd-dimensional caseIntegral solution operators for the Cauchy-Riemann equations on pseudoconvex domainsIntegral representation formulas for differential forms on complex manifolds and applications to the \({\bar \partial}\)-equationKernels for the Tangential Cauchy-Riemann EquationsApproximation of holomorphic mappings on strongly pseudoconvex domainsA formula for interpolation and division in \({\mathbb C}^n\).Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and MergelyanIntegral Representations in Complex Analysis: From Classical Results to Recent DevelopmentsThe \(\overline{\partial}\)-equation on variable strictly pseudoconvex domainsWeighted integral formulas on manifoldsSolution operators for the \(\bar\partial\)-equation on non-transversal intersections of strictly pseudoconvex domainsStein neighborhood bases of embedded strongly pseudoconvex domains and approximation of mappingsBoundary Continuity of Holomorphic Functions in the BallValeurs au bord pour les solutions de l'opérateur $d^n$, et caractérisation des zéros des fonctions de la classe de NevanlinnaC\(^k\) approximation by holomorphic functions and \(\bar \partial\)-closed forms on C\(^k\) submanifolds of a complex manifoldSinguläre Integrale mit gemischten Homogenitäten auf Mannigfaltigkeiten und Anwendungen in der FunktionentheorieÜber das Integral von TemlyakovÜber die Loesbarkeit der \(\overline\partial\)-Gleichung auf Ringgebieten mit Hilfe von \(L^p\)-, \(C^k\)- und \(\mathcal D'\)-stetigen IntegraloperatorenHolomorphic curves in complex spacesBoundary properties of holomorphic functions of several complex variablesSolving withLp-estimates onq-convex intersections in complex manifoldThe spectrum of the Leray transform for convex Reinhardt domains in \(\mathbb C^2\)The Zeros of Holomorphic Functions in Strictly Pseudoconvex DomainsDie Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten. Beschränkte LösungenThe Cauchy-Riemann differential equations on strongly pseudo-convex domains. Continuous boundary values.Eine geometrische Eigenschaft Rungescher Gebiete. (A geometric property of Runge domains)Holomorphic approximation and hyperfunction theory on a C\(^1\) totally real submanifold of a complex manifoldUniform estimates for the \(\bar\partial\)-equation on domains with piecewise smooth strictly pseudoconvex boundariesIntegral representations for complex differential formsThe \(\bar \partial\) problem with uniform bounds on derivativesCauchy-type integrals in several complex variablesHölder and \(L^ p\)-estimates for the \({\bar\partial}\)-equation in some convex domains with real-analytic boundaryOn Regularity and Irregularity of Certain Holomorphic Singular Integral OperatorsGeneral integral representation of holomorphic functions on the analytic subvariety



Cites Work