UNIFORM ESTIMATES FOR SOLUTIONS OF THE $\overline{\partial}$-EQUATION IN PSEUDOCONVEX POLYHEDRA

Армен Глебович Сергеев, Gennadi M. Henkin

Type: Article

Publication Date: 1981-04-30

Citations: 22

DOI: https://doi.org/10.1070/sm1981v040n04abeh001841

View Publication

Locations

Mathematics of the USSR-Sbornik - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Uniform estimates for the ∂̄-equation on intersections of strictly pseudoconvex domains	1972	R. Michael Range Yum-Tong Siu
+	Uniform estimates for the $$\bar \partial $$ -equation on domains with piecewise smooth strictly pseudoconvex boundaries	1973	R. Michael Range Yum-Tong Siu
+ PDF Chat	Regularity of a $$\overline{\partial }$$-Solution Operator for Strongly $$\mathbf{C}$$-Linearly Convex Domains with Minimal Smoothness	2020	Xianghong Gong Loredana Lanzani
+ PDF Chat	$C^k$-estimates for the Cauchy-Riemann equations on certain weakly pseudoconvex domains	1987	Jerzy Ryczaj
+ PDF Chat	A note on global regularity with growth for &#948 on pseudoconvex domain	2009	PW Darko
+ PDF Chat	The $$\overline{\partial }$$ ∂ ¯ -equation on variable strictly pseudoconvex domains	2017	Xianghong Gong Kang‐Tae Kim
+	Solution operators for the $$\bar \partial $$ -equation on non-transversal intersections of strictly pseudoconvex domains	1991	Klaus Peters
+	L^p ESTIMATES FOR SOLUTION OF ∂EQUATION IN STRONGLY PSEUDO-CONVEX DOMAINS.	1997	Osama Abdelkader
+ PDF Chat	On ∂̅-problems on (pseudo)-convex domains	1995	R. Michael Range
+	Solutions to ∂¯-equations on strongly pseudo-convex domains with Lᵖ-estimates	2004	Osama Abdelkader Shaban Khidr
+	The $\overline{\partial}$-equation on variable strictly pseudoconvex domains	2015	Xianghong Gong Kang‐Tae Kim
+	A Note on the Hyperconvexity of Pseudoconvex Domains Beyond Lipschitz Regularity	2015	Benny Avelin Lisa Hed Håkan Persson
+	Uniform Estimates for the ∂-Equation on Pseudoconvex Polyhedra on Stein Manifolds	1983	Dieter Heunemann
+	Chapter 14 Pseudo-Convex Domains and Approximation Results	1982
+	Subelliptic estimates for the $\bar{\partial}$-Neumann problem on certain weakly pseudo-convex domains	1992	Kenji Hasegawa
+	Subelliptic Estimates for the $\overline \partial$-Neumann Problem on Pseudoconvex Domains	1987	David Catlin
+	Subelliptic estimates for ∂[￣]-Neumann problems on some weakly pseudo-convex domains	1990	研二長谷川
+ PDF Chat	Hölder Type Estimates for the $\overline\partial$-Equation in Strongly Pseudoconvex Domains	2008	Heungju Ahn Hong Rae Cho Jong-Do Park
+	A FORMULA AND ESTIMATES FOR THE SOLUTIONS OF THE TANGENTIAL CAUCHY–RIEMANN EQUATION	1976	A. V. Romanov
+ PDF Chat	Subellipticity of the $\bar \partial$ -Neumann problem on pseudo-convex domains: Sufficient conditionsproblem on pseudo-convex domains: Sufficient conditions	1979	J. J. Kohn

Works That Cite This (22)

Action	Title	Year	Authors
+ PDF Chat	Integral representation formulas for differential forms on complex manifolds and applications to the 327-01327-01327-01-equation	1989	Telemachos Hatziafratis
+	Product domains, multi-Cauchy transforms, and the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mover accent="true"><mml:mrow><mml:mo>∂</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:math> equation	2019	L. Chen Jeffery D. McNeal
+	Supnorm estimates for $\bar\partial$ on product domains in $\mathbb{C}^n$	2019	Martino Fassina Yifei Pan
+ PDF Chat	Cauchy singular integral operator with parameters in Log-Hölder spaces	2021	Yifei Pan Yuan Zhang
+ PDF Chat	Domains of polyhedral type and boundary extensions of biholomorphisms	1998	Dmitri Zaitsev
+ PDF Chat	On the Corona Problem for Strongly Pseudoconvex Domains	2022	Akaki Tikaradze
+	$L^p$ estimates for $\bar{\partial} $ in some weakly pseudoconvex domains in C $^n$	2000	Chin-Huei Chang H.P. Lee
+	Une formule int�grale pour l'�edge of the wedge�	1985	Jean-Pierre Rosay
+	$$L^p$$ L p -Regularity for $$\bar{\partial }$$ ∂ ¯ on Products of Unit Balls	2018	Shaban Khidr
+	Boundary Regularity of the Solution of the ∂̅-Equation in the Polydisc	1989	Piotr Jakóbczak

Works Cited by This (30)

Action	Title	Year	Authors
+	Global integral formulas for solving the $\bar ∂$-equation on Stein manifolds	1981	Gennadi M. Henkin Jürgen Leiterer
+	The Neumann problem for the Cauchy-Riemann complex	1972	Gerald B. Folland J. J. Kohn
+	Introduction to the Theory of Analytic Functions of Several Complex Variables	1963	Benjamin Fuks
+	Fundamental solutions in complex analysis part II. The induced Cauchy Riemann operator	1979	Reese Harvey John C. Polking
+	EXACT HÖLDER ESTIMATES FOR THE SOLUTIONS OF THE $ \bar\partial$-EQUATION	1971	A. V. Romanov Gennadi M. Henkin
+ PDF Chat	L2 estimates and existence theorems for the $\bar \partial $ operator	1965	Lars Hörmander
+ PDF Chat	The Cauchy integral for differential forms	1967	Walter Koppelman
+ PDF Chat	Subellipticity of the $\bar \partial$ -Neumann problem on pseudo-convex domains: Sufficient conditionsproblem on pseudo-convex domains: Sufficient conditions	1979	J. J. Kohn
+	C k approximation by holomorphic functions and $$\bar \partial $$ -closed forms onC k submanifolds of a complex manifold	1974	R. Michael Range Yum-Tong Siu
+	Lokale Kerne und beschr�nkte L�sungen f�r den $$\bar \partial$$ -Operator aufq-konvexen Gebieten	1974	Wolfgang Fischer Ingo Lieb