Estimates for $\overline{\partial}$ on domains in $\mathbb{C}^n$ and $\mathbb{CP}^n$ (Q2698514)

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English	Estimates for $\overline{\partial}$ on domains in $\mathbb{C}^n$ and $\mathbb{CP}^n$	scientific article

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instance of

scholarly article

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title

Estimates for $\overline{\partial}$ on domains in $\mathbb{C}^n$ and $\mathbb{CP}^n$ (English)

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published in

The Journal of Geometric Analysis

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publication date

24 April 2023

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zbMATH Keywords

the Cauchy-Riemann operator

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complex projective spaces

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author

Mei-Chi Shaw

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s12220-023-01196-y

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cites work

A global estimate for the Diederich-Fornaess index of weakly pseudoconvex domains

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Extendability and the $\overline{\partial}$ operator on the Hartogs triangle

0 references

A Sobolev mapping property of the Bergman kernel

0 references

Sobolev estimates for the Lewy operator on weakly pseudo-convex boundaries

0 references

Q5488772

0 references

The $\bar\partial$-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in $\mathbb{C}P^n$ with $n \geq 3$

0 references

Estimates for the $\bar\partial$-Neumann problem and nonexistence of $C^2$ Levi-flat hypersurfaces in $\mathbb{C} P^n$

0 references

$L^{2}$ Serre duality on domains in complex manifolds and applications

0 references

On the $L^2$-Dolbeault cohomology of annuli

0 references

Q4520911

0 references

Régularité höldérienne de l'opérateur $\bar\partial$ sur le triangle de Hartogs. (Hölder regularity of the $\bar\partial$ operator on the Hartogs triangle.)

0 references

Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète

0 references

Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions

0 references

Q3979238

0 references

Q3134935

0 references

The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

0 references

The Diederich-Fornæss exponent and non-existence of Stein domains with Levi-flat boundaries

0 references

Sobolev estimates and duality for $\overline{\partial}$ on domains in $\mathbb{CP}^n$

0 references

Hearing pseudoconvexity in Lipschitz domains with holes via ${\bar{\partial }}$

0 references

Sobolev estimates for the Cauchy-Riemann complex on $C^{1}$ pseudoconvex domains

0 references

Bounded plurisubharmonic exhaustion functions for Lipschitz pseudoconvex domains in $\mathbb {CP}^n$

0 references

The strong Oka's lemma, bounded plurisubharmonic functions and the $\overline\partial$-Neumann problem

0 references

Erratum to: Regularity of $\overline \partial$ on pseudoconcave compacts and applications

0 references

$L^ 2$ estimates and existence theorems for the $\partial$-operator

0 references

Q3995750

0 references

The null space of the $\overline \partial $-Neumann operator.

0 references

Harmonic integrals on strongly pseudo-convex manifolds. I

0 references

Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds

0 references

The range of the tangential Cauchy-Riemann operator

0 references

Fonctions plurisousharmoniques d'exhaustion bornees et domaines taut

0 references

Q4000467

0 references

A note on projective Levi flats and minimal sets of algebraic foliations

0 references

On the Hausdorff property of some Dolbeault cohomology groups

0 references

Non-closed Range Property for the Cauchy-Riemann Operator

0 references

Solving \overline{∂} with prescribed support on Hartogs triangles in ℂ² and ℂℙ²

0 references

Q5628582

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Stein domains with Levi-plane boundaries on compact complex surfaces

0 references

Bounded p.s.h. functions and pseudoconvexity in Kähler manifold

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Global Solvability and Regularity for $\overline\partial$ on an Annulus Between Two Weakly Pseudo-Convex Domains

0 references

$L^ 2$ estimates and existence theorems for the tangential Cauchy-Riemann complex

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Q3575863

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The Hartogs Triangle in Complex Analysis

0 references

Prolongement des fonctions holomorphes bornees et métrique de Caratheodory

0 references

Un example de domaine pseudoconvexe ou l'équation $\overline\partial u=f$ n'admet pas de solution bornée pour $f$ bornée

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Q3976258

0 references

Q4694621

0 references

Pseudoconvex domains with smooth boundary in projective spaces

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Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension $\geq 3$

0 references

Q5607484

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Lectures on the $L^2$-Sobolev theory of the $\bar\partial$-Neumann problem

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Domaines pseudoconvexes infinis et la métrique riemannienne dans un espace projectif

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Q4347095

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Identifiers

DOI

10.1007/s12220-023-01196-y

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2698514

Estimates for \(\overline{\partial}\) on domains in \(\mathbb{C}^n\) and \(\mathbb{CP}^n\) (Q2698514)

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Mathematics(1 entry)