Results 11 to 20 of about 1,815 (105)
The automorphism groups of strongly pseudoconvex domains
Mathematische Annalen, 1982 Let \(D_ 0\) be a \(C^{\infty}\) strongly pseudoconvex bounded domain in \({\mathbb{C}}^ n\) (or in a Stein manifold). The authors study the holomorphic automorphism groups Aut(D) of like domains that are \(C^{\infty}\) close to \(D_ 0\). Their main results are as follows: If D is sufficiently \(C^{\infty}\) close to \(D_ 0\), then Aut(D) is isomorphic
Krantz, Steven G., Greene, Robert E.
openaire +3 more sources
Boundary Schwarz Lemma for Holomorphic Self-mappings of Strongly Pseudoconvex Domains [PDF]
Complex Analysis and Operator Theory, 2016 In this paper, we generalize a recent work of Liu et al. from the open unit ball $\mathbb B^n$ to more general bounded strongly pseudoconvex domains with $C^2$ boundary. It turns out that part of the main result in this paper is in some certain sense just a part of results in a work of Bracci and Zaitsev. However, the proofs are significantly different:
Wang, Xieping, Ren, Guangbin
openaire +4 more sources
Toeplitz operators and Carleson measures in strongly pseudoconvex domains
Journal of Functional Analysis, 2012 36 ...
ABATE, MARCO, Raissy J, Saracco A.
openaire +6 more sources
Comparison of invariant functions on strongly pseudoconvex domains
Journal of Mathematical Analysis and Applications, 2015 It is shown that the Carath odory distance and the Lempert function are almost the same on any strongly pseudoconvex domain in $\C^n;$ in addition, if the boundary is $C^{2+\eps}$-smooth, then $\sqrt{n+1}$ times one of them almost coincides with the Bergman distance.
Nikolai Nikolov
openaire +4 more sources
Boundary jets of holomorphic maps between strongly pseudoconvex domains
Journal of Functional Analysis, 2008 We study jets of germs of holomorphic maps between two strongly pseudoconvex domains under the condition that the image of one domain is contained into the other and a given boundary point is (non-tangentially) mapped to a given boundary point. We completely characterize the (non-tangential) 1-jets.
Bracci, Filippo, Zaitsev, Dmitri
openaire +7 more sources
On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we compute the reproducing kernel Bm,α(z, w) for the generalized Fock space Fm,α2ℂ. The usual Fock space is the case when m = 2. We express the reproducing kernel in terms of a suitable hypergeometric series 1Fq. In particular, we show that there is a close connection between B4,α(z, w) and the error function.
Jong-Do Park, Guozhen Lu
wiley +1 more source
On Generalized Strongly p‐Convex Functions of Higher Order
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The aim of this paper is to introduce the definition of a generalized strongly p‐convex function for higher order. We will develop some basic results related to generalized strongly p‐convex function of higher order. Moreover, we will develop Hermite–Hadamard‐, Fejér‐, and Schur‐type inequalities for this generalization.
Muhammad Shoaib Saleem +5 more
wiley +1 more source
Non-embeddable Real Algebraic Hypersurfaces [PDF]
, 2013 We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type ...
Huang, Xiaojun, Zaitsev, Dmitri
core +1 more source
EMBEDDING BORDERED RIEMANN SURFACES IN STRONGLY PSEUDOCONVEX DOMAINS
Revue Roumaine Mathematiques Pures Appliquees, 2023 We show that every bordered Riemann surface, M, with smooth boundary bM admits a proper holomorphic map M → Ω into any bounded strongly pseudoconvex domain Ω in Cn, n > 1, extending to a smooth map f : M → Ω which can be chosen an immersion if n ≥ 3 and an embedding if n ≥ 4.
openaire +2 more sources
Estimates of invariant metrics on pseudoconvex domains near boundaries with constant Levi ranks [PDF]
, 2012 Estimates of the Bergman kernel and the Bergman and Kobayashi metrics on pseudoconvex domains near boundaries with constant Levi ranks are given.Comment: 12 pages. This is a write-up of Chapter IV of the author's Ph.D.
Fu, Siqi
core +1 more source