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- W2949230528 abstract "A weak and a strong concept of plurifinely plurisubharmonic and plurifinely holomorphic functions are introduced. Strong will imply weak. The weak concept is studied further. A function f is weakly plurifinely plurisubharmonic if and only if f o h is finely subharmonic for all complex affine-linear maps h. As a consequence, the regularization in the plurifine topology of a pointwise supremum of such functions is weakly plurifinely plurisubharmonic, and it differs from the pointwise supremum at most on a pluripolar set. Weak plurifine plurisubharmonicity and weak plurifine holomorphy are preserved under composition with weakly plurifinely holomorphic maps." @default.
- W2949230528 created "2019-06-27" @default.
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- W2949230528 date "2010-11-19" @default.
- W2949230528 modified "2023-09-22" @default.
- W2949230528 title "Plurisubharmonic and holomorphic functions relative to the plurifine topology" @default.
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