Results 81 to 90 of about 451,582 (212)
Bergman kernels and subadjunction
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
A Conceptual Framework and Methods for Studying the Connectivity of Fishes
ABSTRACT Connectivity is a multifaceted concept that has important implications for the management and conservation of marine and freshwater fishes. We developed a conceptual framework that encompasses multiple, interrelated categories of connectedness, including landscape (e.g., structural, functional) connectivity and ecological (e.g., trophic ...
Jordanna N. Bergman +18 more
wiley +1 more source
The weak (1,1) boundedness of Fourier integral operators with complex phases
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley +1 more source
Regularity of the $$p-$$Bergman kernel
To appear in Calculus of Variations and PDE.
Bo-Yong Chen, Yuanpu Xiong
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Osculating geometry and higher‐order distance Loci
Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco +2 more
wiley +1 more source
On Bergman completeness of non-hyperconvex domains
We study the problem of the boundary behaviour of the Bergman kernel and the Bergman completeness in some classes of bounded pseudoconvex domains, which contain also non-hyperconvex domains.
Jarnicki, M., Pflug, P., Zwonek, W.
core
22 pages. All comments are welcome!
Bao, Shijie, Guan, Qi'an, Yuan, Zheng
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Asymptotics of Bergman kernels
We give an elementary proof of the existence of an asymptotic expansion in powers of $k$ of the Bergman kernel associated to $L^k$, where $L$ is a positive line bundle. We also give an algorithm for computing the coefficients in the expansion.
Berman, Robert +2 more
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This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida +3 more
wiley +1 more source
Abstract In tropical forests today, hunting for food and income remains largely unsustainable, with adverse implications for biodiversity, ecological services, and human wellbeing. Even though our scientific knowledge of the issue has improved greatly in recent years, the situation on the ground has not. This Perspective presents our opinions and ideas
David S. Wilkie +3 more
wiley +1 more source

