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We consider the subharmonicity property of the logarithm of Azukawa pseudometrics of pseudoconvex domains under pseudoconvex variations. We prove that such a property holds for the variation of balanced domains.… Click to show full abstract
We consider the subharmonicity property of the logarithm of Azukawa pseudometrics of pseudoconvex domains under pseudoconvex variations. We prove that such a property holds for the variation of balanced domains. We also give a non-balanced example. The relation of the volume of Azukawa indicatrix and the estimate in the Ohsawa–Takegoshi [Formula: see text]-extension theorem is also discussed.
Keywords:
azukawa pseudometrics;
subharmonic variation;
variation azukawa;
balanced domains;
pseudometrics balanced
Journal Title: International Journal of Mathematics
Year Published: 2021
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Journal Title: International Journal of Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!