Monge–Ampère measures associated with semi-exhaustive functions
Abstract In this paper, we study the current $$T \wedge \text {{dd}}^{c}\psi $$ T ∧ dd c ψ for positive currents T and semi-exhaustive, not necessarily plurisubharmonic, functions $$\psi $$ ψ . The study leads to new definitions of capacity and Lelong–Demailly numbers with respect to the weight $$\p...
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2022-11-01
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Series: | Arabian Journal of Mathematics |
Subjects: | |
Online Access: | https://doi.org/10.1007/s40065-022-00409-6 |
Summary: | Abstract In this paper, we study the current $$T \wedge \text {{dd}}^{c}\psi $$ T ∧ dd c ψ for positive currents T and semi-exhaustive, not necessarily plurisubharmonic, functions $$\psi $$ ψ . The study leads to new definitions of capacity and Lelong–Demailly numbers with respect to the weight $$\psi $$ ψ . |
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ISSN: | 2193-5343 2193-5351 |