Regularity of the equilibrium measure for meromorphic correspondences

نویسندگان

چکیده

Let f be a meromorphic correspondence on compact Kähler manifold X of dimension k. Assume that its topological degree is larger than the dynamical order $$k-1$$ . We obtain quantitative regularity equilibrium measure in terms super-potentials.

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15 صفحه اول

Regularity of Holomorphic Correspondences and Applications to the Mapping Problems

We study the regularity results of holomorphic correspondences. As an application, we combine it with certain recently developed methods to obtain the extension theorem for proper holomorphic mappings between domains with real analytic boundaries in the complex 2-space.

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ژورنال

عنوان ژورنال: Analysis and Mathematical Physics

سال: 2023

ISSN: ['1664-2368', '1664-235X']

DOI: https://doi.org/10.1007/s13324-023-00815-9