A note on the smoothness of the Minkowski function
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DOI: 10.1080/17476933.2020.1727898
Abstract: Abstract The Minkowski function is a crucial tool used in the study of balanced domains and, more generally, quasi-balanced domains in several complex variables. If a quasi-balanced domain is bounded and pseudoconvex then it is… read more here.
Keywords: balanced domains; quasi balanced; note smoothness; smoothness minkowski ... See more keywords
Subharmonic variation of Azukawa pseudometrics for balanced domains
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DOI: 10.1142/s0129167x21500154
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… read more here.
Keywords: azukawa pseudometrics; subharmonic variation; variation azukawa; balanced domains ... See more keywords