Estimates of Level Sets of Holomorphic Functions and Applications to the Weighted Log Canonical Thresholds
In this paper, we establish some estimates of level sets of holomorphic functions. Relying on obtained estimates we compute some of the weighted log canonical thresholds of plurisubharmonic functions. Finally, we prove the analyticity of the sublevel sets of weighted log canonical thresholds of plur...
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| Veröffentlicht in: | The Journal of Geometric Analysis 2021-04, Vol.31 (4), p.3783-3819 |
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| container_issue | 4 |
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| container_title | The Journal of Geometric Analysis |
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| creator | Hai, Le Mau Hiep, Pham Hoang Tung, Trinh |
| description | In this paper, we establish some estimates of level sets of holomorphic functions. Relying on obtained estimates we compute some of the weighted log canonical thresholds of plurisubharmonic functions. Finally, we prove the analyticity of the sublevel sets of weighted log canonical thresholds of plurisubharmonic functions. |
| doi_str_mv | 10.1007/s12220-020-00414-1 |
| format | Article |
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Relying on obtained estimates we compute some of the weighted log canonical thresholds of plurisubharmonic functions. 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| language | eng |
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| subjects | Abstract Harmonic Analysis Analytic functions Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Estimates Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Harmonic functions Mathematical analysis Mathematics Mathematics and Statistics Thresholds |
| title | Estimates of Level Sets of Holomorphic Functions and Applications to the Weighted Log Canonical Thresholds |
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