Search Results - "Fornæss, John Erik"

Weighted approximation in C by Fornæss, John Erik, Wu, Jujie

“…We prove that if { φ j } j is a sequence of subharmonic functions which are increasing to some subharmonic function φ in C , then the union of all the weighted…”
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Dynamics of transcendental Hénon maps by Arosio, Leandro, Benini, Anna Miriam, Fornæss, John Erik, Peters, Han

“…The dynamics of transcendental functions in the complex plane has received a significant amount of attention. In particular much is known about the description…”
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Henkin–Ramirez kernels by Fornæss, John Erik

“…I will survey Henkin–Ramirez reproducing kernels in the weakly pseudoconvex case. The literature is enormous and I will not try to be complete…”
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Strong localization of invariant metrics by Fornæss, John Erik, Nikolov, Nikolai

“…A quantitative version of strong localization of the Kobayashi, Azukawa and Sibony metrics, as well as of the squeezing function, near a plurisubharmonic peak…”
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Dynamics of transcendental Hénon maps-II by Arosio, Leandro, Benini, Anna Miriam, Fornæss, John Erik, Peters, Han

“…Transcendental Hénon maps are the natural extensions of the well investigated complex polynomial Hénon maps to the much larger class of holomorphic…”
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A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary by Fornæss, John, Wold, Erlend

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Estimate of the squeezing function for a class of bounded domains by Fornæss, John Erik, Rong, Feng

“…We construct a class of bounded domains, on which the squeezing function is not uniformly bounded from below near a smooth and pseudoconvex boundary point…”
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On the boundary rigidity at strongly pseudoconvex points by Fornæss, John Erik, Rong, Feng

“…We prove a localized version of Burns–Krantz type boundary rigidity theorem at strongly pseudoconvex points for holomorphic self-maps of some bounded taut…”
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Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains by Bracci, Filippo, Fornæss, John Erik, Wold, Erlend Fornæss

“…We prove that for a strongly pseudoconvex domain D ⊂ C n , the infinitesimal Carathéodory metric g C ( z , v ) and the infinitesimal Kobayashi metric g K ( z ,…”
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Flat Bundles Over Some Compact Complex Manifolds by Deng, Fusheng, Fornæss, John Erik

“…We construct examples of flat fiber bundles over the Hopf surface such that the total spaces have no pseudoconvex neighborhood basis, admit a complete Kähler…”
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Backtracking New Q-Newton’s Method, Newton’s Flow, Voronoi’s Diagram and Stochastic Root Finding by Fornæss, John Erik, Hu, Mi, Truong, Tuyen Trung, Watanabe, Takayuki

“…A new variant of Newton’s method - named Backtracking New Q-Newton’s method (BNQN) - which has strong theoretical guarantee, is easy to implement, and has good…”
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Weighted $$L^2$$ Version of Mergelyan and Carleman Approximation by Biard, Séverine, Fornæss, John Erik, Wu, Jujie

“…We study the density of polynomials in $$H^2(E,\varphi )$$ H 2 ( E , φ ) , the space of square integrable functions with respect to $$\mathrm{e}^{-\varphi…”
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Semiglobal Results for ∂̄ on a Complex Space with Arbitrary Singularities by John Erik Fornæss, Nils Øvrelid, Sophia Vassiliadou

“…We obtain some$L^2-results$for the$\bar\partial$operator on forms that vanish to high order on the singular set of a complex space…”
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A Domain with Non-plurisubharmonic Squeezing Function by Fornæss, John Erik, Shcherbina, Nikolay

“…We construct a strictly pseudoconvex domain with smooth boundary whose squeezing function is not plurisubharmonic…”
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Infinite Entropy for Transcendental Entire Functions with an Omitted Value by Benini, Anna Miriam, Fornæss, John Erik, Peters, Han

“…We prove that entire transcendental holomorphic functions with an omitted value have infinite entropy. A proof for general transcendental entire functions will…”
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The range of holomorphic maps at boundary points by Bracci, Filippo, Fornæss, John Erik

“…We prove a boundary version of the open mapping theorem for holomorphic maps between strongly pseudoconvex domains. That is, we prove that the local image of a…”
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Riemann Surface Laminations with Singularities by Fornæss, John Erik, Sibony, Nessim

“…In these introductory notes we give the basics of the theory of holomorphic foliations and laminations. The emphasis is on the theory of harmonic currents and…”
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Non-autonomous basins with uniform bounds are elliptic by Fornæss, John, Wold, Erlend

“…We prove that a non-autonomous basin with bounds is an Oka manifold. A consequence is that it has an abundance of holomorphic maps from \mathbb{C}^m into it,…”
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Classification of Recurrent Domains for Holomorphic Maps on Complex Projective Spaces by Fornæss, John Erik, Rong, Feng

“…We generalize the classification of recurrent domains for holomorphic maps on two-dimensional complex projective space given in Fornæss and Sibony (Math. Ann…”
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On a conjecture by Blocki and Zwonek by FORNAESS John Erik

“…This paper gives a counterexample to a conjecture by Blocki and Zwonek on the area of sublevel sets of the Green＇s function…”
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