Rafał Czyż

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All published works

Action	Title	Year	Authors
+	Generalization of finite entropy measures in Kähler geometry	2025	Per Åhag Rafał Czyż
+ PDF Chat	Kiselman minimum principle and rooftop envelopes in complex Hessian equations	2024	Per Åhag Rafał Czyż Chinh H. Lu Alexander Rashkovskii
+	Geodesic connectivity and rooftop envelopes in the Cegrell classes	2024	Per Åhag Rafał Czyż Hoang Chinh Lu Alexander Rashkovskii
+ PDF Chat	Continuity of Solutions to Complex Hessian Equations via the Dinew-Ko{\l}odziej Estimate	2024	Per Åhag Rafał Czyż
+ PDF Chat	Generalization of Finite Entropy Measures in K\"{a}hler Geometry	2024	Per Åhag Rafał Czyż
+ PDF Chat	Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations	2024	Per Åhag Rafał Czyż Chinh H. Lu Alexander Rashkovskii
+	On manifold-like polyfolds as differential geometrical objects with applications in complex geometry	2024	Per Åhag Rafał Czyż Håkan Samuelsson Kalm Aron Persson
+	On a generalised Lambert W branch transition function arising from p,q-binomial coefficients	2023	Per Åhag Rafał Czyż P. H. Lundow
+	On a generalised Lambert $W$ branch transition function arising from $p,q$-binomial coefficients	2023	Per Åhag Rafał Czyż Per-Håkan Lundow
+	Explicit Solutions in Isotropic Planar Elastostatics	2023	Andreas Granath Per Åhag Antti Perälä Rafał Czyż
+	Complex branches of a generalised Lambert $W$ function arising from $p,q$--binomial coefficients	2023	Per Åhag Rafał Czyż Per-Håkan Lundow
+ PDF Chat	A characterization of the degenerate complex Hessian equations for functions with bounded (p,m)-energy	2022	Per Åhag Rafał Czyż
+ PDF Chat	Geodesics in the Space of <i>m</i>-Subharmonic Functions With Bounded Energy	2022	Per Åhag Rafał Czyż
+ PDF Chat	On the regularity of the complex Hessian equation	2022	Per Åhag Rafał Czyż
+ PDF Chat	On a Family of Quasimetric Spaces in Generalized Potential Theory	2022	Per Åhag Rafał Czyż
+	Geodesics in the space of $m$-subharmonic functions with bounded energy	2021	Per Åhag Rafał Czyż
+	On the regularity of the complex Hessian equation	2021	Per Åhag Rafał Czyż
+	On a family of quasimetric spaces in generalized potential theory	2021	Per Åhag Rafał Czyż
+	On the regularity of the complex Hessian equation	2021	Per Åhag Rafał Czyż
+	Geodesics in the space of $m$-subharmonic functions with bounded energy	2021	Per Åhag Rafał Czyż
+ PDF Chat	The Dirichlet problem for $m$-subharmonic functions on compact sets	2020	Per Åhag Rafał Czyż Lisa Hed
+ PDF Chat	Poincaré- and Sobolev- Type Inequalities for Complex m-Hessian Equations	2020	Per Åhag Rafał Czyż
+	A characterization of the degenerate complex Hessian equations for functions with bounded $(p,m)$-energy	2020	Per Åhag Rafał Czyż
+	A characterization of the degenerate complex Hessian equations for functions with bounded $(p,m)$-energy	2020	Per Åhag Rafał Czyż
+	On the Moser–Trudinger inequality in complex space	2019	Per Åhag Rafał Czyż
+ PDF Chat	The classification of holomorphic (<i>m</i>, <i>n</i>)-subharmonic morphisms	2019	Per Åhag Rafał Czyż Lisa Hed
+	The Dirichlet problem for $m$-subharmonic functions on compact sets	2018	Per Åhag Rafał Czyż Lisa Hed
+ PDF Chat	On a characterization of $m$-subharmonic functions with weak singularities	2018	Per Åhag Rafał Czyż
+	The Dirichlet problem for $m$-subharmonic functions on compact sets	2018	Per Åhag Rafał Czyż Lisa Hed
+ PDF Chat	The Geometry of m-Hyperconvex Domains	2017	Per Åhag Rafał Czyż Lisa Hed
+ PDF Chat	On a constant in the energy estimate	2017	Rafał Czyż Van Thien Nguyen
+ PDF Chat	Extension and approximation of<i>m</i>-subharmonic functions	2017	Per Åhag Rafał Czyż Lisa Hed
+ PDF Chat	On the complex Monge-Ampère operator in unbounded domains	2017	Per Åhag Rafał Czyż
+	A Counterexample to a Conjecture by Błocki–Zwonek	2016	Per Åhag Rafał Czyż P. H. Lundow
+	On the Błocki–Zwonek conjectures and beyond	2015	Per Åhag Rafał Czyż
+	On the Błocki–Zwonek conjectures	2015	Per Åhag Rafał Czyż
+	Vector spaces of delta-plurisubharmonic functions and extensions of the complex Monge–Ampère operator	2014	Per Åhag Urban Cegrell Rafał Czyż
+ PDF Chat	On Dirichlet's principle and problem	2012	Per Åhag Urban Cegrell Rafał Czyż
+	Kolodziej's subsolution theorem for unbounded pseudoconvex domains	2012	Per Åhag Rafał Czyż
+ PDF Chat	Plurisubharmonic functions on compact sets	2012	Rafał Czyż Lisa Hed Håkan Persson
+ PDF Chat	Radially symmetric plurisubharmonic functions	2012	Per Åhag Rafał Czyż Leif Persson
+ PDF Chat	On a Monge–Ampère type equation in the Cegrell class E<sub>χ</sub>	2010	Rafał Czyż
+	On Kalina-Persson's Dirichlet principle	2009	Per Åhag Rafał Czyż
+	On Dirichlet's principle and problem	2009	Per Åhag Urban Cegrell Rafał Czyż
+	Modulability and duality of certain cones in pluripotential theory	2009	Per Åhag Rafał Czyż
+ PDF Chat	Monge–Ampère measures on pluripolar sets	2009	Per Åhag Urban Cegrell Rafał Czyż Hoàng Hiệp Phạm
+ PDF Chat	Pluriharmonic extension in proper image domains	2009	Rafał Czyż
+	An Inequality for the Beta Function with Application to Pluripotential Theory	2009	Per Åhag Rafał Czyż
+ PDF Chat	The complex Monge–Ampère operator	2009	Rafał Czyż
+	The complex Monge-Ampère operator in the Cegrell classes	2009	Rafał Czyż
+	On Dirichlet's principle and problem	2009	Per Åhag Urban Cegrell Rafał Czyż
+ PDF Chat	Subextension of plurisubharmonic functions without increasing the total Monge–Ampère mass	2008	Rafał Czyż Lisa Hed
+	On a Monge-Ampère type equation in the Cegrell class $\mathcal{E}_χ$	2008	Rafał Czyż
+	Plurisubharmonic extension in non-degenerate analytic polyhedra	2007	Per Åhag Rafał Czyż Sam Lodin Frank Wikström
+ PDF Chat	Continuous pluriharmonic boundary values	2007	Per Åhag Rafał Czyż
+ PDF Chat	Concerning the energy class E<sub>p</sub>for 0<p<1	2007	Per Åhag Rafał Czyż Phạm Hoàng Hiệp
+	Monge-Ampere measures on pluripolar sets	2007	Per Åhag Urban Cegrell Rafał Czyż Phạm Hoàng Hiệp
+	On the Cegrell classes	2006	Per Åhag Rafał Czyż
+ PDF Chat	The connection between the Cegrell classes and compliant functions	2006	Rafał Czyż Per Åhag
+ PDF Chat	On the Dirichlet problem in the Cegrell classes	2004	Rafał Czyż Per Åhag
+	Some global solutions of the complex Monge-Ampere equation	2002	Rafał Czyż
+ PDF Chat	The complex Monge–Ampère equation for complex homogeneous functions in C<sup>n</sup>	2001	Rafał Czyż

Common Coauthors

Coauthor	Papers Together
Per Åhag	52
Lisa Hed	8
Urban Cegrell	6
Phạm Hoàng Hiệp	2
P. H. Lundow	2
Chinh H. Lu	2
Alexander Rashkovskii	2
Per-Håkan Lundow	2
Hoang Chinh Lu	1
Håkan Persson	1
Antti Perälä	1
Leif Persson	1
Andreas Granath	1
Alexander Rashkovskii	1
Aron Persson	1
Van Thien Nguyen	1
Hoàng Hiệp Phạm	1
Håkan Samuelsson Kalm	1
Sam Lodin	1
Frank Wikström	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Pluricomplex energy	1998	Urban Cegrell	19
+ PDF Chat	The general definition of the complex Monge-Ampère operator	2004	Urban Cegrell	14
+	Pluripotential Theory	1991	Maciej Klimek	13
+ PDF Chat	Weak solutions to the complex Hessian equation	2005	Zbigniew Błocki	13
+ PDF Chat	A new capacity for plurisubharmonic functions	1982	Eric Bedford B. A. Taylor	12
+ PDF Chat	The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian	1985	Luis Caffarelli Louis Nirenberg Joel Spruck	12
+	The complex Monge-Ampère equation and pluripotential theory	2005	Sławomir Kołodziej	10
+	Modulability and duality of certain cones in pluripotential theory	2009	Per Åhag Rafał Czyż	10
+ PDF Chat	A priori estimates for complex Hessian equations	2014	Sławomir Dinew Sławomir Kołodziej	10
+ PDF Chat	A Dirichlet principle for the complex Monge-Ampère operator	1999	Leif Persson	9
+	Potential theory in the class of m-subharmonic functions	2012	Azimbay Sadullaev B. I. Abdullaev	9
+ PDF Chat	A general Dirichlet problem for the complex Monge–Ampère operator	2008	Urban Cegrell	8
+ PDF Chat	Subextension of plurisubharmonic functions with weak singularities	2005	Urban Cegrell Sławomir Kołodziej Ahmed Zériahi	8
+	Une classe de domaines pseudoconvexes	1987	Nessim Sibony	8
+ PDF Chat	The Geometry of m-Hyperconvex Domains	2017	Per Åhag Rafał Czyż Lisa Hed	8
+ PDF Chat	An energy estimate for the complex Monge-Ampère operator	1997	Urban Cegrell Leif Persson	8
+	Partial pluricomplex energy and integrability exponents of plurisubharmonic functions	2009	Per Åhag Urban Cegrell Sławomir Kołodziej Hoàng Hiệp Phạm Ahmed Zériahi	8
+	On delta $m$-subharmonic functions	2016	Van Thien Nguyen	7
+ PDF Chat	Concerning the energy class E<sub>p</sub>for 0<p<1	2007	Per Åhag Rafał Czyż Phạm Hoàng Hiệp	7
+ PDF Chat	Poincaré- and Sobolev- Type Inequalities for Complex m-Hessian Equations	2020	Per Åhag Rafał Czyż	7
+	A variational approach to complex Hessian equations in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">C</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>	2015	Chinh H. Lu	7
+ PDF Chat	The connection between the Cegrell classes and compliant functions	2006	Rafał Czyż Per Åhag	6
+ PDF Chat	The dirichlet problem for a complex Monge-Amp�re equation	1976	Eric Bedford B. A. Taylor	6
+	Maximal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e19" altimg="si5.gif"><mml:mi>m</mml:mi></mml:math>-subharmonic functions and the Cegrell class <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e24" altimg="si6.gif"><mml:msub><mml:mrow><mml:mi mathvariant="script">N</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:math>	2019	Van Thien Nguyen	6
+	The complex Monge-Ampère operator in the Cegrell classes	2009	Rafał Czyż	6
+ PDF Chat	Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function	1999	Magnus Carlehed Urban Cegrell Frank Wikström	6
+	The equation of complex Monge-Ampère type and stability of solutions	2006	Urban Cegrell Sławomir Kołodziej	5
+ PDF Chat	Monge–Ampère measures on pluripolar sets	2009	Per Åhag Urban Cegrell Rafał Czyż Hoàng Hiệp Phạm	5
+ PDF Chat	Capacities and Hessians in the class of m-subharmonic functions	2013	Azimbay Sadullaev B. I. Abdullaev	5
+ PDF Chat	Plurisubharmonic envelopes and supersolutions	2019	Vincent Guedj Chinh H. Lu Ahmed Zériahi	5
+ PDF Chat	Rooftop envelopes and residual plurisubharmonic functions	2022	Alexander Rashkovskii	5
+ PDF Chat	The complex Monge–Ampère operator	2009	Rafał Czyż	5
+ PDF Chat	Continuity of Envelopes of Plurisubharmonic Functions	1968	Joseph William Walsh	5
+ PDF Chat	A Monge-Ampère norm for delta-plurisubharmonic functions	2005	Urban Cegrell Jonas Wiklund	5
+	Nonlinear elliptic equations and the complex hessian	1988	Àlvar Vinacua	5
+ PDF Chat	Local geodesics for plurisubharmonic functions	2016	Alexander Rashkovskii	5
+	Uniform Algebras and Jensen Measures	1979	T. W. Gamelin	5
+	The weighted Monge–Ampère energy of quasiplurisubharmonic functions	2007	Vincent Guedj Ahmed Zériahi	5
+	Complex Hessian Operator and Lelong Number for Unbounded m-subharmonic Functions	2015	Dongrui Wan Wei Wang	5
+ PDF Chat	ON THE DIRICHLET PROBLEMS FOR SYMMETRIC FUNCTION EQUATIONS OF THE EIGENVALUES OF THE COMPLEX HESSIAN	2004	Song-Ying Li	4
+	Subsolution theorem for the complex Hessian equation	2012	Ngoc Cuong Nguyen	4
+	On the Cegrell classes	2006	Per Åhag Rafał Czyż	4
+ PDF Chat	Dirichlet problems for plurisubharmonic functions on compact sets	2011	Evgeny A. Poletsky Ragnar Sigurðsson	4
+ PDF Chat	Degenerate complex Hessian equations on compact Kahler manifolds	2015	Chinh H. Lu Dong Van Nguyen	4
+ PDF Chat	The Mabuchi completion of the space of Kähler potentials	2017	Tamás Darvas	4
+ PDF Chat	Continuous pluriharmonic boundary values	2007	Per Åhag Rafał Czyż	4
+ PDF Chat	Jensen measures and boundary values of plurisubharmonic functions	2001	Frank Wikström	4
+	The Mabuchi geometry of finite energy classes	2015	Tamás Darvas	4
+ PDF Chat	The metric geometry of singularity types	2020	Tamás Darvas Eleonora Di Nezza Chinh H. Lu	4
+	Extension of Meromorphic Maps Into Kahler Manifolds	1975	Yum-Tong Siu	4