Estimates for the \(\bar \partial\)-Neumann problem in pseudoconvex domains of finite type in \(\mathbb{C}^ 2\)
From MaRDI portal
Publication:1336307
DOI10.1007/BF02392760zbMath0821.32011WikidataQ60961571 ScholiaQ60961571MaRDI QIDQ1336307
Elias M. Stein, Alexander Nagel, Der-Chen E. Chang
Publication date: 27 September 1995
Published in: Acta Mathematica (Search for Journal in Brave)
Pseudodifferential operators as generalizations of partial differential operators (35S05) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)
Related Items
The ∂̄-Neumann problem and boundary integral equations ⋮ On the product theory of singular integrals ⋮ On the Hodge-type decomposition and cohomology groups of \(k\)-Cauchy-Fueter complexes over domains in the quaternionic space ⋮ Lp estimates for the $\bar\partial$-equation on a class of infinite type domains ⋮ Lp‐Estimates for the ∂¯b‐equation on a class of infinite type domains ⋮ The Neumann problem for the \(k\)-Cauchy-Fueter complex over \(k\)-pseudoconvex domains in \(\mathbb{R}^4\) and the \(L^2\) estimate ⋮ Hölder estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundary ⋮ Boundary value problems of elliptic operators and reduction to the boundary techniques ⋮ Estimates of Cauchy-Szegő kernel in Hardy spaces on nilpotent Lie groups of step two ⋮ Generalized Calderón–Zygmund operators on homogeneous groups and applications ⋮ Lp mapping properties for the Cauchy–Riemann equations on Lipschitz domains admitting subelliptic estimates ⋮ Supnorm and \(f\)-Hölder estimates for \(\overline\partial\) on convex domains of general type in \(\mathbb C^2\) ⋮ Global 𝐶^{∞} irregularity of the ∂̄-Neumann problem for worm domains ⋮ Estimates for solutions of the \(\bar\partial\)-equation and application to the characterization of the zero varieties of the functions of the Nevanlinna class for lineally convex domains of finite type ⋮ Comparing the Bergman and Szegö projections on domains with subelliptic boundary Laplacian ⋮ Analysis and geometry on worm domains ⋮ Expansions of Dirichlet to Neumann operators under perturbations ⋮ Sobolev and Lipschitz estimates for weighted Bergman projections ⋮ Zeros sets of \(H^p\) functions in lineally convex domains of finite type in \(\mathbb{C}^n\) ⋮ Estimates for weighted Bergman projections on pseudo-convex domains of finite type in ℂn ⋮ A parametrix for the \(\overline{\partial}\)-Neumann problem on pseudoconvex domains of finite type ⋮ Multi-parameter Carnot-Carathéodory balls and the theorem of Frobenius ⋮ Commutation properties and Lipschitz estimates for the Bergman and Szegö projections ⋮ A solution operator for \(\bar\partial\) on the Hartogs triangle and \(L^p\) estimates ⋮ Maximal hypoellipticity for the \(\overline{\partial}\)-Neumann problem ⋮ A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces ⋮ The Heisenberg group and its relatives in the work of Elias M. Stein ⋮ Fractional integrals on product manifolds ⋮ The \(\square_b\) heat equation and multipliers via the wave equation ⋮ Calderón-Zygmund operators on Lipschitz spaces over RD spaces ⋮ Unnamed Item ⋮ Hölder estimates for the \(\overline\partial\)-equation in some domains of finite type ⋮ \(L^p\) estimates for \(\overline\partial\)-equation on generalized complex ellipsoids ⋮ Asymptotic expansion of the trace of the heat kernel associated to the Dirichlet-to-Neumann operator ⋮ A note on weighted Bergman spaces and the Cesaro Operator
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
- Hölder estimates on domains of complex dimension two and on three- dimensional CR manifolds
- Estimates for the parametrix of the Kohn Laplacian on certain domains
- Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
- Formules explicites pour les solutions minimales de l'équation \(\overline\partial u=f\) dans la boule et dans le polydisque de \(\mathbb C^n\)
- Solutions de l'équation \(\bar\partial\) et zéros de la classe de Nevanlinna dans certains domaines faiblement pseudo-convexes
- Comportement d'un opérateur pseudo-différentiel sur une variété à bord. I: La propriété de transmission, II: Pseudo-noyaux de Poisson
- Harmonic integrals on strongly pseudo-convex manifolds. I
- On the extension of holomorphic functions from the boundary of a complex manifold
- Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
- The $\overline \partial$-Neumann Solution to the Inhomogeneous Cauchy-Riemann Equation in the Ball in $C^n$
- The Hull of Holomorphy of a Nonisotropic Ball in a Real Hypersurface of Finite Type
- Estimates for the ∂̄-Neumann problem for pseudoconvex domains in C 2 of finite type
- Regularity Properties of the ∂ b Equation on Weakly Pseudoconvex CR Manifolds of Dimension 3
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Valeurs au bord pour les solutions de l'opérateur $d^n$, et caractérisation des zéros des fonctions de la classe de Nevanlinna
- THE LEWY EQUATION AND ANALYSIS ON PSEUDOCONVEX MANIFOLDS
- H. LEWY'S EQUATION AND ANALYSIS ON A PSEUDOCONVEX MANIFOLD. II
- Non‐coercive boundary value problems
- The Blaschke Condition for Bounded Holomorphic Functions
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
- Complex Boundary Value Problems