Results 31 to 40 of about 217,307 (157)
CR Characterization of Strongly Pseudoconvex Domains
This paper explores the CR (Cauchy-Riemann) characterization of strongly pseudoconvex domains, a fundamental topic in several complex variables and CR geometry. Strongly pseudoconvex domains are a class of complex domains whose boundaries possess a specific geometric property related to the Levi form, which ensures a high degree of "convexity" in ...
Revista, Zen, MATH, 10
openaire +3 more sources
Toeplitz operators on strongly pseudoconvex domains in Stein spaces [PDF]
Tohoku Mathematical Journal, 1978 Sato, Hajime, Yabuta, Kôzô
openaire +4 more sources
Comparison between the Kobayashi and Carathéodory distances on strongly pseudoconvex bounded domains in 𝐶ⁿ [PDF]
, 1989 In this paper we prove that the ratio between the Carathéodory distance and the Kobayashi distance in a strongly pseudoconvex bounded domain in C n {{\mathbf {C}}
Sergio Venturini
openalex +2 more sources
Weighted L estimates for the Bergman and Szegő projections on strongly pseudoconvex domains with near minimal smoothness [PDF]
Advances in Mathematics, 2020 We prove the weighted $L^p$ regularity of the ordinary Bergman and Cauchy-Szegő projections on strongly pseudoconvex domains $D$ in $\mathbb{C}^n$ with near minimal smoothness for appropriate generalizations of the $B_p/A_p$ classes.
Nathan A. Wagner, B. Wick
semanticscholar +1 more source
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 The purpose of the note is to obtain equivalent quasinorm, sharp estimates for the quasinorm of Hardy’s and new Bergman’s analytic classes of in the polydisk.
Shamoyan, R.F., Tomashevskaya, E.B.
doaj +1 more source
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
A docquier-Grauert lemma for strongly pseudoconvex domains in complex manifolds [PDF]
Rocky Mountain Journal of Mathematics, 1976 Hugo Rossi
openaire +3 more sources
Strongly Pseudoconvex Manifolds and Strongly Pseudoconvex Domains
Publications of the Research Institute for Mathematical Sciences, 1984 Let \((X,\psi)\) be a noncompact strongly pseudoconvex manifold. This means that \(\psi\) is a \(C^{\infty}\) exhaustion function on X which is strongly plurisubharmonic outside a compact set. An open relatively compact subset D in X is called an s.p.c.
Nakano, Shigeo, Ohsawa, Takeo
openaire +3 more sources
Toeplitz Algebras on Strongly Pseudoconvex Domains [PDF]
Nagoya Mathematical Journal, 2007 AbstractIn the present paper, it is proved that theK0-group of a Toeplitz algebra on any strongly pseudoconvex domain is always isomorphic to theK0-group of the relative continuous function algebra, and is thus isomorphic to the topologicalK0-group of the boundary of the relative domain.
openaire +2 more sources
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