Weighted energy classes of plurifinely plurisubharmonic functions

DOI10.1007/s00025-019-1094-8zbMath1427.32027OpenAlexW2972460388WikidataQ127279581 ScholiaQ127279581MaRDI QIDQ2275310

Vu Van Quan, Le Mau Hai

Publication date: 2 October 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1094-8

zbMATH Keywords

plurifinely plurisubharmonic functionscomplex Monge-Ampère-type equationweighted energy classes

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) General pluripotential theory (32U15)

Cites Work

• Unnamed Item
• Maximal plurifinely plurisubharmonic functions
• Plurisubharmonic and holomorphic functions relative to the plurifine topology
• Some weighted energy classes of plurisubharmonic functions
• A new capacity for plurisubharmonic functions
• Subextension and approximation of negative plurisubharmonic functions
• Monge-Ampère measures on pluripolar sets
• Fine topology, Šilov boundary, and \((dd^ c)^ n\)
• Local maximality for bounded plurifinely plurisubharmonic functions
• A note on maximal subextensions of plurisubharmonic functions
• On the approximation of weakly plurifinely plurisubharmonic functions
• The general definition of the complex Monge-Ampère operator.
• Weakly solutions to the complex Monge-Ampère equation on bounded plurifinely hyperconvex domains
• Weighted pluricomplex energy
• Approximation of plurifinely plurisubharmonic functions
• A note on the approximation of plurisubharmonic functions
• Plurifinely plurisubharmonic functions and the Monge Ampère operator
• The Monge–Ampère type equation in the weighted pluricomplex energy class
• Convergence in Capacity
• On a Monge–Ampère type equation in the Cegrell class E_χ
• APPROXIMATION OF WEAKLY SINGULAR PLURISUBHARMONIC FUNCTIONS
• Continuity properties of finely plurisubharmonic functions and pluripolarity
• APPROXIMATION OF NEGATIVE PLURISUBHARMONIC FUNCTIONS WITH GIVEN BOUNDARY VALUES
• Plurifine potential theory
• A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
• Plurisubharmonic functions with weak singularities
• Range of the complex Monge–Ampère operator on plurifinely domain
• Approximation of plurisubharmonic functions
• Approximation of plurisubharmonic functions

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