Results 21 to 30 of about 7,995 (254)
Characterization of Riesz and Bessel potentials on variable Lebesgue spaces
Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that
Alexandre Almeida, Stefan Samko
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The exponent of convergence of poincar� series
This paper continues the systematic study of the exponent of convergence δ(G) of a Fuchsian groupG begun byA. F. Beardon. The object is to show that in various senses δ(G) is a continuous function ofG. In view of the incompleteness of our knowledge about δ(G) considerable attention is paid to illustrative examples.
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Renormalization Exponents and Optimal Pointwise Rates of Convergence
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Donoho, David L., Low, Mark G.
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$\Gamma$-convergence for power-law functionals with variable exponents
We study the $\Gamma$-convergence of the functionals $F_n(u):= || f(\cdot,u(\cdot),Du(\cdot))||_{p_n(\cdot)}$ and $\mathcal{F}_n(u):= \int_{\Omega} \frac{1}{p_n(x)} f^{p_n(x)}(x,u(x),Du(x))dx$ defined on $X\in \{L^1(\Omega,\mathbb{R}^d), L^\infty(\Omega,\mathbb{R}^d), C(\Omega,\mathbb{R}^d)\}$ (endowed with their usual norms) with effective domain the ...
Eleuteri, Michela, Prinari, Francesca
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ABSTRACT Pediatric supportive care clinical trials often involve multiple clinically important outcomes, complicating trial interpretation. Hierarchical composite endpoints (HCEs) provide a framework to integrate key outcomes according to clinical importance.
Willem H. Collier +11 more
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A Dynamical System With Fixed Convergence Time for Sparse Recovery
The sparse recovery (SR) algorithm, under the premise that signals are sparse, can be divided into two categories. One is a digital discrete method implemented via lots of iterative computations and the other is a continuous method implemented via analog
Junying Ren +4 more
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On the exponent of exponential convergence of p-version FEM spaces [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
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Weighted Variable Exponent Sobolev spaces on metric measure spaces
In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
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How phagocytic cells kill bacteria: Lessons from a professional killer
How phagocytic cells ingest and kill bacteria has been studied for more than a century, but many questions remain unanswered. The study of the amoeba Dictyostelium discoideum brings new answers, and new questions. Professional phagocytic cells such as neutrophils and macrophages, as well as free‐living soil amoebae like Dictyostelium discoideum, employ
Otmane Lamrabet, Pierre Cosson
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