Results 81 to 90 of about 167,639,266 (299)

Integral operators in the spaces of functions of bounded Schramm variation

Journal of Inequalities and Applications
In this paper we provide a full characterization of linear integral operators acting from the space of functions of bounded Jordan variation to the space of functions of bounded Schramm variation in terms of their generating kernels.
Jacek Gulgowski, Piotr Kasprzak, Piotr Maćkowiak   +2 more
doaj   +1 more source

On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation

, 2016
In this paper, we deal with one of the basic problems of the theory of autonomous superposition operators acting in the spaces of functions of bounded variation, namely the problem concerning their continuity.
D. Bugajewski, J. Gulgowski, P. Kasprzak
semanticscholar   +1 more source

Extensions and traces of functions of bounded variation on metric spaces [PDF]

, 2014
In the setting of a metric space equipped with a doubling measure and supporting a Poincare inequality, and based on results by Bjorn and Shanmugalingam (2007) [7] , we show that functions of bounded variation can be extended from any bounded uniform ...
Panu Lahti
semanticscholar   +1 more source

Investigating transcription factor dynamics in health and disease using FRAP

FEBS Letters, EarlyView.
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj, Carolina Vazquez Garzon, Jose Joaquin Velasco, Janine N. Post   +3 more
wiley   +1 more source

Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities [PDF]

, 2006
We prove that if f: I ⊂ R→ R is of bounded variation, then the uncentered maximal function Mf is absolutely continuous, and its derivative satisfies the sharp inequality ∥DMf∥ L 1(I) < |Df|(I). This allows us to obtain, under less regularity, versions of
J. M. Aldaz, J. Lázaro
semanticscholar   +1 more source

Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions

FEBS Letters, EarlyView.
The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang, Hyo Been Jin, Chang Min Kim, So Yeon Lee, Hyun Ho Park   +4 more
wiley   +1 more source

Structure‐forward targeting of claudins with synthetic binders

FEBS Letters, EarlyView.
Claudins form the paracellular barriers between epithelial and endothelial tissues at tight junctions and are targets for molecular binders with the goal of modulating barrier permeability. Claudin‐binding molecules are relevant in drug delivery or in altering claudin interactions with disease‐causing proteins.
Alex J. Vecchio
wiley   +1 more source

Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics

FEBS Letters, EarlyView.
Proximity‐dependent labeling at the LAMTOR complex revealed the Rho GEF PLEKHG3 as a lysosome‐proximal protein directing the study toward the influence of lysosome positioning on actin dynamics and cell motility. We show that PLEKHG3 colocalizes with lysosomes at focal adhesion sites and observe that forced peripheral dispersion of lysosomes hinders ...
Rainer Ettelt, Ana‐Maria Sandru, Georg Vucak, Sebastian Didusch, Biljana Riemelmoser, Karin Ehrenreiter, Markus Hartl, Lukas A. Huber, Manuela Baccarini   +8 more
wiley   +1 more source

A Boolean sum interpolation for multivariate functions of bounded variation

Frontiers in Applied Mathematics and Statistics
This paper deals with the approximation error of trigonometric interpolation for multivariate functions of bounded variation in the sense of Hardy-Krause.
Jürgen Prestin, Yevgeniya V. Semenova
doaj   +1 more source

On the Nemytskii Operator in the Space of Functions of Bounded (p, 2, α)-Variation with Respect to the Weight Function

Demonstratio Mathematica, 2014
In this paper, we consider the Nemytskii operator (Hf)(t) = h(t, f(t)), generated by a given function h. It is shown that if H is globally Lipschitzian and maps the space of functions of bounded (p,2,α)-variation (with respect to a weight function α ...
Aziz Wadie
doaj   +1 more source