Results 41 to 50 of about 582 (171)
The $\bar {\partial }$-Neumann operator on Lipschitz $q$-pseudoconvex domains [PDF]
, 2011 summary:On a bounded $q$-pseudoconvex domain $\Omega $ in $\mathbb {C}^{n}$ with a Lipschitz boundary, we prove that the $\bar {\partial }$-Neumann operator $N$ satisfies a subelliptic $(1/2)$-estimate on $\Omega $ and $N$ can be extended as a bounded ...
Saber, Sayed
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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
Bekoll\'e-Bonami estimates on some pseudoconvex domains [PDF]
, 2020 We establish a weighted $L^p$ norm estimate for the Bergman projection for a class of pseudoconvex domains. We obtain an upper bound for the weighted $L^p$ norm when the domain is, for example, a bounded smooth strictly pseudoconvex domain, a ...
Huo, Zhenghui +2 more
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Holomorphic sectional curvature of some pseudoconvex domains [PDF]
, 1989 The holomorphic sectional curvatures in the Bergman metric of a smooth bounded pseudoconvex domain in C 2 {{\mathbf {C}}^2} are shown to be bounded in ...
Jeffery D. McNeal
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Peak points, barriers and pseudoconvex boundary points [PDF]
, 1977 Let x be a smooth boundary point of a domain in C n {{\mathbf {C}}^n} . It is shown that x is a limit of strictly pseudoconvex boundary points whenever there
Richard F. Basener
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A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary [PDF]
, 2018 In recent work by Zimmer it was proved that if Ω ⊂ C n is a bounded convex domain with C ∞-smooth boundary, then Ω is strictly pseudoconvex provided that the squeezing function approaches one as one approaches the boundary. We show that this result fails
Fornæss, John Erik +1 more
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Projected Composition Operators on Pseudoconvex Domains [PDF]
Integral Equations and Operator Theory, 2021 Let $Ω\subset \mathbb{C}^n$ be a smooth bounded pseudoconvex domain and $A^2 (Ω)$ denote its Bergman space. Let $P:L^2(Ω)\longrightarrow A^2(Ω)$ be the Bergman projection. For a measurable $φ:Ω\longrightarrow Ω$, the projected composition operator is defined by $(K_φf)(z) = P(f \circ φ)(z), z \inΩ, f\in A^2 (Ω).$ In 1994, Rochberg studied boundedness ...
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The Boundedness of Toeplitz Operators on Some Reinhardt Domains
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, for η∈R and k=k1,…,kn∈Z+n, we concentrate the boundedness of Toeplitz operators Tψ on the generalized Hartogs triangles, a class of singular Reinhardt domains, defined by Ωk=z∈Cn+1:z2
Fan Chen, Smritijit Sen
wiley +1 more source
On Carleman and observability estimates for wave equations on time‐dependent domains
Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 998-1064, October 2019., 2019 Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
wiley +1 more source
Solutions of Cauchy-Riemann equations on pseudoconvex domain with nonsmooth boundary [PDF]
, 1995 We want to prove global regularity of the $\bar\partial$-Problem on pseudoconvex domains in $\doubc\sp{n}$ with $C\sp2$ boundary. First of all, we prove estimates of a solution for pseudoconvex domains with smooth boundaries by studying precisely the ...
Yie, Seongan Lim
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