Results 21 to 30 of about 1,815 (105)
Semicontinuity of the Automorphism Groups of Domains with Rough Boundary [PDF]
, 2012 Based on some ideas of Greene and Krantz, we study the semicontinuity of automorphism groups of domains in one and several complex variables. We show that semicontinuity fails for domains in $\CC^n$, $n > 1$, with Lipschitz boundary, but it holds for ...
Krantz, Steven G.
core +3 more sources
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.
openaire +3 more sources
Parametrix for the localization of the Bergman metric on strictly pseudoconvex domains [PDF]
, 2017 We give the parameter version of localization theorem for Bergman metric near the boundary points of strictly pseudoconvex domains. The approximation theorem for square integrable holomorphic functions on such domains in the spirit of Graham-Kerzman is ...
Lewandowski, Arkadiusz
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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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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
core +1 more source
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
wiley +1 more source
Strongly pseudoconvex handlebodies
, 2003 We give an explicit construction of special strongly pseudoconvex domains in C^n of handlebody type, i.e., domains which are small tubes surrounding the union of a quadratic strongly pseudoconvex domain with an attached totally real handle.
Forstneric, Franc, Kozak, Jernej
core +1 more source
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