Tangential Cauchy-Riemann equations on pseudoconvex boundaries of finite and infinite type in $\mathbb {C}^2$ (Q2406976)

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English	Tangential Cauchy-Riemann equations on pseudoconvex boundaries of finite and infinite type in $\mathbb {C}^2$	scientific article

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scholarly article

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title

Tangential Cauchy-Riemann equations on pseudoconvex boundaries of finite and infinite type in $\mathbb {C}^2$ (English)

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zbMATH Open document ID

1376.32039

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DOI

10.1007/s00025-016-0630-z

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author

Ly Kim Ha

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published in

Results in Mathematics

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publication date

4 October 2017

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Mathematics Subject Classification ID

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pseudoconvex domains

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$\bar{\partial}_b$-equation

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integral representations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00025-016-0630-z

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OpenAlex ID

W2557240131

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cites work

Optimal Hölder and $L^{p}$ estimates for $\overline{\partial}_b$ on boundaries of convex domains of finite type.

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Hölder and $L^ p$-estimates for the ${\bar\partial}$-equation in some convex domains with real-analytic boundary

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Q4520911

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Subelliptic estimates and function spaces on nilpotent Lie groups

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Q4255465

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Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group

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INTEGRAL REPRESENTATIONS OF FUNCTIONS HOLOMORPHIC IN STRICTLY PSEUDO-CONVEX DOMAINS AND SOME APPLICATIONS

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INTEGRAL REPRESENTATION OF FUNCTIONS IN STRICTLY PSEUDOCONVEX DOMAINS AND APPLICATIONS TO THE $ \overline{\partial}$-PROBLEM

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EXACT HÖLDER ESTIMATES FOR THE SOLUTIONS OF THE $ \bar\partial$-EQUATION

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Lp estimates for the $\bar\partial$-equation on a class of infinite type domains

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Boundary regularity of the solution to the complex Monge-Ampère equation on pseudoconvex domains of infinite type

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

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Supnorm and $f$-Hölder estimates for $\overline\partial$ on convex domains of general type in $\mathbb C^2$

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Boundary behavior of $\bar \partial$ on weakly pseudo-convex manifolds of dimension two

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Regularity of the $\bar {\partial }$-Neumann problem at point of infinite type

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Necessary geometric and analytic conditions for general estimates in the $\overline{\partial}$-Neumann problem

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Optimal Lipschitz and $L^p$ regularity for the equation $\overline\partial u=f$ on strongly pseudo-convex domains

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The Caratheodory metric and holomorphic maps on a class of weakly pseudoconvex domains

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Hölder and $L^ p$ estimates for ${\bar \partial}_ b$ on weakly pseudo-convex boundaries in ${\mathbb C}^ 2$

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Optimal Hoelder and L p Estimates for ∂ &nbsp; b &nbsp; on the Boundaries of Real Ellipsoids in C n

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Q5607484

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Good Stein neighborhood bases and regularity of the $\overline{\partial}$-Neumann problem

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Q5640160

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L∞-continuity of Henkin operators solving in certain weakly pseudoconvex domains of ℂ2

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Q5387359

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Mathematics(1 entry)

mardi Publication:2406976

Tangential Cauchy-Riemann equations on pseudoconvex boundaries of finite and infinite type in \(\mathbb {C}^2\) (Q2406976)

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Mathematics(1 entry)