Results 51 to 60 of about 364 (148)
Generalized Pseudoconvex Functions and Multiobjective Programming [PDF]
, 1997 In a recent work, cited in the Introduction, a concept of generalized pseudoconvexity was used to obtain optimality results in nonlinear programming.
Mukherjee, R.N.
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An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source
Symmetric duality for mathematical programming in complex spaces with F-convexity [PDF]
, 2003 Under F-convexity, F-concavity/F-pseudoconvexity, F-pseudoconcavity, appropriate duality results for a pair of Wolfe and Mond–Weir type symmetric dual nonlinear programming problems in complex spaces are established.
Rueda, Norma G., Mishra, Shashi K.
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Model Pseudoconvex Domains and Bumping [PDF]
International Mathematics Research Notices, 2011 28 pages; typos corrected; Remarks 2.6 & 2.7 added; clearer proof of Prop.
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Uniformization of strictly pseudoconvex domains. II [PDF]
Izvestiya: Mathematics, 2005 It is shown that two strictly pseudoconvex Stein domains with real analytic boundaries have biholomorphic universal coverings provided that their boundaries are locally biholomorphically equivalent. This statement can be regarded as a higher dimensional analogue of the Riemann uniformization theorem.
Nemirovski, Stefan, Shafikov, Rasul
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Non‐cyclicity and polynomials in Dirichlet‐type spaces of the unit ball
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3905-3919, December 2024.Abstract We give a description of the intersection of the zero set with the unit sphere of a polynomial that is zero‐free in the unit ball of Cn${\mathbb {C}}^n$. This description leads to a necessary condition for a polynomial to be cyclic in Dirichlet‐type spaces of the unit ball.
Dimitrios Vavitsas +1 more
wiley +1 more source
On the compactification of strongly pseudoconvex surfaces [PDF]
Proceedings of the American Mathematical Society, 1981 In this paper, we shall prove that the compactification of a strongly pseudoconvex surface is either a projective algebraic or an Inoue surface. Furthermore, we shall construct an example of a strongly pseudoconvex surface X
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New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications
Mathematische Nachrichten, Volume 297, Issue 4, Page 1407-1443, April 2024.Abstract Given a bounded Lipschitz domain Ω⊂Rn$\Omega \subset \mathbb {R}^n$, Rychkov showed that there is a linear extension operator E$\mathcal {E}$ for Ω$\Omega$, which is bounded in Besov and Triebel‐Lizorkin spaces. In this paper, we introduce some new estimates for the extension operator E$\mathcal {E}$ and give some applications.
Ziming Shi, Liding Yao
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Analyticity in the boundary of a pseudoconvex domain [PDF]
Proceedings of the American Mathematical Society, 1985 Let D D be a bounded pseudoconvex domain with
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Closed 3‐forms in five dimensions and embedding problems
Journal of the London Mathematical Society, Volume 109, Issue 4, April 2024.Abstract We consider the question if a five‐dimensional manifold can be embedded into a Calabi–Yau manifold of complex dimension 3 such that the real part of the holomorphic volume form induces a given closed 3‐form on the 5‐manifold. We define an open set of 3‐forms in dimension five which we call strongly pseudoconvex, and show that for closed ...
Simon Donaldson, Fabian Lehmann
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