Results 61 to 70 of about 5,540 (198)

The Investigation of Some Essential Concepts of Extended Fuzzy‐Valued Convex Functions and Their Applications

Advances in Fuzzy Systems, Volume 2024, Issue 1, 2024.
In this paper, we are thus motivated to define and introduce the extended fuzzy‐valued convex functions that can take the singleton fuzzy values −∞˜ and +∞˜ at some points. Such functions can be characterized using the notions of effective domain and epigraph.
T. Allahviranloo, M. R. Balooch Shahryari, O. Sedaghatfar, M. R. Shahriari, R. Saadati, S. Noeiaghdam, U. Fernandez-Gamiz, Ramin Ranjbarzadeh   +7 more
wiley   +1 more source

Approximation of holomorphic mappings on strongly pseudoconvex domains

, 2009
Let D be a relatively compact strongly pseudoconvex domain in a Stein manifold, and let Y be a complex manifold. We prove that the set A(D,Y), consisting of all continuous maps from the closure of D to Y which are holomorphic in D, is a complex Banach ...
Barbara Drinovec-Drnovšek, Forstnerič F., Forstnerič F., Forstnerič F., Franc Forstnerič, Henkin G. M., Ivashkovich S. M., Larotonda A., Larotonda A., Leiterer J., Newlander A., Palais R. S.   +11 more
core   +2 more sources

Compactness of the Complex Green Operator on C¹ Pseudoconvex Boundaries in Stein Manifolds

Mathematics
We study compactness for the complex Green operator Gq associated with the Kohn Laplacian □b on boundaries of pseudoconvex domains in Stein manifolds. Let Ω⋐X be a bounded pseudoconvex domain in a Stein manifold X of complex dimension n with C1 boundary.
Abdullah Alahmari, Emad Solouma, Marin Marin, A. F. Aljohani, Sayed Saber   +4 more
doaj   +1 more source

Peak Points for Pseudoconvex Domains: A Survey [PDF]

Journal of Geometric Analysis, 2008
This paper surveys results concerning peak points for pseudoconvex domains. It includes results of Laszlo that have not been published elsewhere.
openaire   +2 more sources

Boundary behavior of the Kobayashi metric near a point of infinite type [PDF]

, 2013
Under a potential-theoretical hypothesis named $f$-Property with $f$ satisfying $\displaystyle\int_t^\infty \dfrac{da}{a f(a)}
Khanh, Tran Vu
core  

Compactness of commutators of Toeplitz operators on q-pseudoconvex domains

Electronic Journal of Differential Equations, 2018
Let $\Omega$ be a bounded q-pseudoconvex domain in $\mathbb{C}^n$, $n \geq 2$ and let $1 \leq q \leq n-1$. If $\Omega$ is smooth, we find sufficient conditions for the $\overline\partial$-Neumann operator to be compact.
Sayed Saber
doaj  

Precise estimates of invariant distances on strongly pseudoconvex domains [PDF]

, 2023
Łukasz Kosiński, Николай Николов, Ahmed Yekta Ökten   +2 more
openalex   +1 more source

Geometry of analytic continuation on complex manifolds – history, survey, and report

Complex Manifolds
Beginning with the state of art around 1953, solutions of the Levi problem on complex manifolds will be recalled at first up to Takayama’s result in 1998.
Ohsawa Takeo
doaj   +1 more source

On the boundary behavior of the holomorphic sectional curvature of the Bergman metric

Le Matematiche, 2006
We obtain a conceptually new differential geometric proof of P. F. Klembeck’s result (cf. [9]) that the holomorphic sectional curvature k g (z ) of the Bergman metric of a strictly pseudoconvex domain Ω ⊂ ℂ n approaches −4/(n + 1 ...
Elisabetta Barletta
doaj  

Variations of pseudoconvex domains

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1983
A connected Hausdorff space E together with a locally homeomorphic map \(\pi\) of E to \({\mathbb{R}}^ m\) is called an unramified covering domain over the space \({\mathbb{R}}^ m\). Suppose D is such a domain and \(D_ p\) is a sequence of relatively compact subdomains of D such that \(x^ 0\in D_ 1\), \(D_ p\subset D_{p+1}\), \(\cup^{\infty}_{p=1}D_ p ...
openaire   +3 more sources