Results 21 to 30 of about 364 (148)

Causal simplicity and (maximal) null pseudoconvexity

open access: yes, 2021
We consider pseudoconvexity properties in Lorentzian and Riemannian manifolds and their relationship in static spacetimes. We provide an example of a causally continuous and maximal null pseudoconvex spacetime that fails to be causally simple.
Minguzzi, E   +4 more
core   +1 more source

Sobolev Estimates for the ∂¯ and the ∂¯-Neumann Operator on Pseudoconvex Manifolds

open access: yesMathematics, 2023
Let D be a relatively compact domain in an n-dimensional Kähler manifold with a C2 smooth boundary that satisfies some “Hartogs-pseudoconvexity” condition.
Haroun Doud Soliman Adam   +3 more
doaj   +1 more source

Pseudoconvex classes of functions. I. Pseudoconcave and pseudoconvex sets [PDF]

open access: yesPacific Journal of Mathematics, 1988
This is a joint review for parts I-III. Natural classes of subharmonic, plurisubharmonic, convex and q- plurisubharmonic functions have a number of common properties which can be reduced to several basic ones. Taking these as axioms, the author defines in Part I the general notion of a pseudoconvex class of functions.
openaire   +3 more sources

Optimality and Duality of Approximate Quasi Weakly Efficient Solution for Nonsmooth Vector Optimization Problems

open access: yesMathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
This paper aims at studying optimality conditions and duality theorems of an approximate quasi weakly efficient solution for a class of nonsmooth vector optimization problems (VOP). First, a necessary optimality condition to the problem (VOP) is established by using the Clarke subdifferential.
Wenjing Li, Guolin Yu, S. K. Mishra
wiley   +1 more source

Pseudostarlike and pseudoconvex in a direction multiple Dirichlet series

open access: yesМатематичні Студії, 2023
The article introduces the concepts of pseudostarlikeness and pseudoconvexity in the direction of absolutely converges in $\Pi_0=\{s\in\mathbb{C}^p\colon \text{Re}\,sh$, $\text{Re ...
M. M. Sheremeta, O. B. Skaskiv
doaj   +1 more source

Strongly Pseudoconvex Manifolds and Strongly Pseudoconvex Domains

open access: yesPublications 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

On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series

open access: yesJournal 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

Midpoint Inequalities via Strong Convexity Using Positive Weighted Symmetry Kernels

open access: yesJournal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In the present research, we generalize the midpoint inequalities for strongly convex functions in weighted fractional integral settings. Our results generalize many existing results and can be considered as extension of existing results.
Hengxiao Qi   +4 more
wiley   +1 more source

The disk property. A short survey

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
We present some results obtained over the years regarding the disk property for complex manifolds and its connections with ...
Joiţa Cezar
doaj   +1 more source

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