Results 51 to 60 of about 1,565 (216)

New Inequalities and an Integral Expression for the 𝒜‐Berezin Number

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi, Ahad Alotaibi, Cristian Conde, Kais Feki, Ding-Xuan Zhou   +4 more
wiley   +1 more source

Vanishing Bergman Kernels on the Disk [PDF]

The Journal of Geometric Analysis, 2017
We discuss topics related to zeroes of the Bergman kernels, and present a method for generating Bergman kernels with arbitrarily, but finitely, many zeroes. It is also shown that a Bergman kernel induced by a radial weight on the unit disk cannot have infinitely many zeroes.
openaire   +2 more sources

Mapping the Habitats of the Red Sea Plume: Merging Expert and Community‐Contributed Data in a Changing Climate

Aquatic Conservation: Marine and Freshwater Ecosystems, Volume 35, Issue 12, December 2025.
ABSTRACT The red seaweed Asparagopsis taxiformis (common name: red sea plume) is attracting global attention because of its ability to reduce methane emissions in livestock systems. However, its habitat and distribution within the Great Barrier Reef (GBR)—one of the world's most iconic marine ecosystems—remain largely unexplored, posing challenges for ...
Najeen Arabelle M. Rula, Christopher M. Aiken, Adam K. Smith, Robert D. Kinley, Emma L. Jackson   +4 more
wiley   +1 more source

Bergman kernels and subadjunction

, 2010
In this article our main result is a more complete version of the statements obtained in {\rm [6]}. One of the important technical point of our proof is an $\displaystyle L^{2\over m}$ extension theorem of Ohsawa-Takegoshi type, which is derived from the original result by a simple fixed point method.
Berndtsson, Bo, Păun, Mihai
openaire   +2 more sources

Bergman kernels and symplectic reduction [PDF]

Comptes Rendus. Mathématique, 2005
We present several results concerning the asymptotic expansion of the invariant Bergman kernel of the spinc Dirac operator associated with high tensor powers of a positive line bundle on a compact symplectic manifold.
Ma, Xiaonan, Zhang, Weiping
openaire   +2 more sources

On Bergman–Toeplitz operators in periodic planar domains

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study spectra of Toeplitz operators Ta$T_a$ with periodic symbols in Bergman spaces A2(Π)$A^2(\Pi)$ on unbounded singly periodic planar domains Π$\Pi$, which are defined as the union of infinitely many copies of the translated, bounded periodic cell ϖ$\varpi$.
Jari Taskinen
wiley   +1 more source

On discrete subgroups of the complex unit ball

Mathematische Nachrichten, Volume 298, Issue 10, Page 3272-3286, October 2025.
Abstract In this paper, we study conditions for a discrete subgroup of the automorphism group of the n$n$‐dimensional complex unit ball to be of convergence type or second kind, connecting these classifications to the existence of Green's functions and subharmonic or harmonic functions on its quotient space.
Aeryeong Seo
wiley   +1 more source

Regularity of the $$p-$$Bergman kernel

Calculus of Variations and Partial Differential Equations
To appear in Calculus of Variations and PDE.
Bo-Yong Chen, Yuanpu Xiong
openaire   +3 more sources

Adapting a global conservation perspectives assessment for local relevance: Evaluating perspectives on protected area management across diverse groups in South Africa

People and Nature, Volume 7, Issue 10, Page 2393-2406, October 2025.
Abstract Conservation governance has traditionally focussed on biological and scientific expertise while often avoiding value‐based conflicts. However, ignoring the value dimension overlooks conservation's dual nature. Understanding the values that guide the actions and narratives of conservationists and those interested in or affected by conservation ...
Izak P. J. Smit, Chris Sandbrook, Liandi Slabbert, Corli Coetsee, Louise Swemmer, M. Kyle S. Smith, Stef Freitag‐Ronaldson, Nelsiwe Mpapane, Dirk J. Roux, Danny Govender, Mohlamatsane Mokhatla, Aidan Keane   +11 more
wiley   +1 more source

A Note on ξ-Bergman Kernels

Frontiers of Mathematics
22 pages. All comments are welcome!
Bao, Shijie, Guan, Qi'an, Yuan, Zheng
openaire   +2 more sources