On the definition of the Monge-Ampère operator in \(\mathbb{C}^2\)

From MaRDI portal
Publication:1434155

DOI10.1007/s00208-003-0491-0zbMath1060.32018OpenAlexW2070601356MaRDI QIDQ1434155

Zbigniew Błocki

Publication date: 1 July 2004

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-003-0491-0




Related Items

Weighted pluricomplex energy. II.APPROXIMATION OF NEGATIVE PLURISUBHARMONIC FUNCTIONS WITH GIVEN BOUNDARY VALUESContinuity of the complex Monge-Ampère operator on compact Kähler manifoldsA comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applicationsContinuity of envelopes of unbounded plurisubharmonic functionsEnergy and invariant measures for birational surface mapsLocal property of a class of \(m\)-subharmonic functionsWeighted pluricomplex energyMonge-Ampère operator on four dimensional almost complex manifoldsWeak solutions to the complex Monge–Ampère equation on hyperconvex domainsA viscosity approach to degenerate complex Monge-Ampère equationsProjective logarithmic potentialsMaximality of plurifinely plurisubharmonic functionsOn the residual Monge-Ampère mass of plurisubharmonic functions with symmetry in \(\mathbb{C}^2\)Remarks on weak convergence of complex Monge-Ampère measuresLocal property of the class \(\mathcal E_{\chi}, loc\)Logarithmic potentials on \(\mathbb{P}^n\)The weighted Monge-Ampère energy of quasiplurisubharmonic functionsA Hilbert lemniscate theorem in \(\mathbb C^{ 2 }\)Viscosity solutions to degenerate complex monge-ampère equationsDESINGULARIZATION OF QUASIPLURISUBHARMONIC FUNCTIONSOn the regularization of \(J\)-plurisubharmonic functionsDomains of definition of Monge-Ampère operators on compact Kähler manifoldsRandom polynomials and pluripotential-theoretic extremal functionsCauchy–Riemann meet Monge–AmpèreOpen problems in pluripotential theoryWeak solutions to the complex \(m\)-Hessian equation on open subsets of \(\mathbb{C}^n\)Plurifinely plurisubharmonic functions and the Monge Ampère operatorA characterization ofOn a characterization of $m$-subharmonic functions with weak singularitiesOn the complex Monge–Ampère operator for quasi‐plurisubharmonic functions with analytic singularitiesAn inequality for mixed Monge-Ampère measuresUniqueness in \(\mathcal E(X,\omega)\)On a Monge-Ampere operator for plurisubharmonic functions with analytic singularitiesAPPROXIMATION OF WEAKLY SINGULAR PLURISUBHARMONIC FUNCTIONSWeakly solutions to the complex Monge-Ampère equation on bounded plurifinely hyperconvex domainsWeak solutions to the complex Monge-Ampère equation on open subsets of \(\mathbb{C}^n\)Weak solutions to the complex Hessian equation.Monge-Ampère measures on pluripolar setsThe Monge–Ampère type equation in the weighted pluricomplex energy class