Splitting lemma for biholomorphic mappings with parameters – weakly pseudoconvex case (Q6536912)

scientific article; zbMATH DE number 7846672

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English	Splitting lemma for biholomorphic mappings with parameters – weakly pseudoconvex case	scientific article; zbMATH DE number 7846672

Statements

instance of

scholarly article

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title

Splitting lemma for biholomorphic mappings with parameters – weakly pseudoconvex case (English)

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author

Arkadiusz Lewandowski

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published in

Complex Variables and Elliptic Equations

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publication date

14 May 2024

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MaRDI profile type

Publication

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cites work

Noncritical holomorphic functions on Stein manifolds.

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Noncritical holomorphic functions on Stein spaces

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Exposing boundary points of strongly pseudoconvex subvarieties in complex spaces

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Exposing points on the boundary of a strictly pseudoconvex or a locally convexifiable domain of finite 1-type

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Bordered Riemann surfaces in $\mathbb C^2$

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A parametric version of Forstnerič's splitting lemma

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On the parameter dependence of solutions to the $\bar\partial$-equation

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$C^ k$-regularity for the ${\bar \partial}$-equation on strictly pseudoconvex domains with piecewise smooth boundaries

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$C^{k}$-estimates for the $\bar\partial$-equation on convex domains of finite type

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Sobolev estimates for the ${\bar \partial}$-Neumann operator on domains in ${\mathbb{C}}^ n$ admitting a defining function that is plurisubharmonic on the boundary

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

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STABILITY OF THE ESTIMATES FOR ∂-EQUATION ON COMPACT PSEUDOCONVEX COMPLEX MANIFOLDS

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SOBOLEV ESTIMATES OF SOLUTIONS OF THE $\bar{\partial}$-NEUMANN PROBLEM ON PARAMETERS

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Boundary behavior of holomorphic functions on pseudoconvex domains

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Q4073917

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A note on plurisubharmonic defining functions in $\mathbb{C}^2$

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

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The $\overline{\partial}$-equation on variable strictly pseudoconvex domains

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Q5546034

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Identifiers

zbMATH Open document ID

1545.32078

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DOI

10.1080/17476933.2023.2177990

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6536912