Results 41 to 50 of about 364 (148)

Graphical and Analytic Study of New Inequalities Involving Strongly n‐Polynomial Exponential‐Type s‐Convex Functions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan, Ramy M. Hafez, Kashif Ali, Ndolane Sene, Çetin Yildiz   +4 more
wiley   +1 more source

Intermediate pseudoconvexity for unramified Riemann domains over ℂⁿ [PDF]

We characterize the q-pseudoconvexity for unramified Riemann domains over ℂⁿ, where 1≤q≤n, by the continuity property which holds for a class of maps whose projections to ℂⁿ are families of unidirectionally parameterized q-dimensional analytic balls ...
Shima, Tadashi, Sugiyama, Shun, Abe, Makoto   +2 more
core   +1 more source

Dual Algebras and A-Measures

Journal of Function Spaces, 2014
Weak-star closures of Gleason parts in the spectrum of a function algebra are studied. These closures relate to the bidual algebra and turn out both closed and open subsets of a compact hyperstonean space.
Marek Kosiek, Krzysztof Rudol
doaj   +1 more source

Locally pseudoconvex inductive limit of sequences of locally pseudoconvex algebras [PDF]

Banach Journal of Mathematical Analysis, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abel, Mati, María Pérez-Tiscareño, Reyna   +1 more
openaire   +2 more sources

On uniqueness of solutions to complex Monge–Ampère mean field equations

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.
Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
wiley   +1 more source

Dirac–Schrödinger operators, index theory and spectral flow

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
wiley   +1 more source

On generalized pseudoconvex functions [PDF]

, 1989
In this paper, the concept of pseudoconvexity is generalized in three different ways and the interrelation of them is investigated. For constrained optimization, sufficiency of Kuhn-Tucker optimality conditions is derived under some assumptions which do ...
Ibaraki, Toshihide, Fukushima, Masao, Tanaka, Yoshihiro   +2 more
core   +1 more source

On a higher dimensional worm domain and its geometric properties

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We construct new three‐dimensional variants of the classical Diederich–Fornæss worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We also show that their Bergman projections do not preserve the Sobolev space for sufficiently large Sobolev indices.
Steven G. Krantz, Marco M. Peloso, Caterina Stoppato   +2 more
wiley   +1 more source

CR$CR$ analysis via local uniform completion, a sharp maximum modulus principle and holomorphic extension

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
wiley   +1 more source