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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
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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.
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Proper holomorphic embeddings into Stein manifolds with the density property [PDF]
, 2014 We prove that a Stein manifold of dimension $d$ admits a proper holomorphic embedding into any Stein manifold of dimension at least $2d+1$ satisfying the holomorphic density property.
Andrist, Rafael +3 more
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On the Corona Problem for Strongly Pseudoconvex Domains
Analysis Mathematica, 2022 In this note we solve that the corona problem for strongly pseudoconvex domains under a certain assumption on the level sets of the corona data.
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Equidistribution theorems on strongly pseudoconvex domains
Transactions of the American Mathematical Society, 2018 26 ...
Hsiao, Chin-Yu, Shao, Guokuan
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Some remarks on the Kobayashi–Fuks metric on strongly pseudoconvex domains
Journal of Mathematical Analysis and Applications, 2022 23 ...
Diganta Borah, Debaprasanna Kar
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Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3
Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018 Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)<∞ where z0 ∈ bΩ, the boundary of Ω. Then we get optimal estimates of the Bergman kernel function along some “almost tangential curve” Cb(z0, δ0) ⊂ Ω ∪ {z0}.
Sanghyun Cho, Milan Pokorny
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On Traces in Some Analytic Spaces in Bounded Strictly Pseudoconvex Domains
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 New sharp estimates of traces of Bergman type spaces of analytic functions in bounded strictly pseudoconvex domains are obtained. These are, as far as we know, the first results of this type which are valid for any bounded strictly pseudoconvex domains with smooth boundary.
Romi F. Shamoyan +2 more
wiley +1 more source
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 Let Ω be a smoothly bounded pseudoconvex domain in Cn with one degenerate eigenvalue and assume that there is a smooth holomorphic curve V whose order of contact with bΩ at z0 ∈ bΩ is larger than or equal to η. We show that the maximal gain in Hölder regularity for solutions of the ∂¯‐equation is at most 1/η.
Sanghyun Cho +2 more
wiley +1 more source