Results 11 to 20 of about 11,464 (219)

Regularity Properties and Lipschitz Spaces Adapted to High-Order Schrödinger Operators

open access: yesMathematics, 2022
Let be the high-order Schrödinger operator (−Δ)2+V2, where V is a non-negative potential satisfying the reverse Hölder inequality (RHq), with q>n/2 and n≥5.
Wei Chen, Chao Zhang
doaj   +1 more source

A Fourier Analysis Based New Look at Integration

open access: yesAnnales Mathematicae Silesianae, 2023
We approach the problem of integration for rough integrands and integrators, typically representing trajectories of stochastic processes possessing only some Hölder regularity of possibly low order, in the framework of para-control calculus.
Imkeller Peter, Perkowski Nicolas
doaj   +1 more source

Intrinsic fractional Taylor formula

open access: yesBruno Pini Mathematical Analysis Seminar, 2022
We consider a class of non-local ultraparabolic Kolmogorov operators and a suitable fractional Holder spaces that take into account the intrinsic sub-riemannian geometry induced by the operators.
Maria Manfredini
doaj   +1 more source

Resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We present some resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces, for which the first space in a pair is endowed with stronger norm. In this work we deal with estimates in (Lebesgue, Lebesgue), (Hölder,
Nikolai Yu. Bakaev
doaj   +1 more source

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

open access: yesFEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa   +5 more
wiley   +1 more source

Organizing the interface—Plasma membrane architecture and receptor dynamics in virus‐cell interactions

open access: yesFEBS Letters, EarlyView.
Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley   +1 more source

Biophysical approaches for studying viral entry

open access: yesFEBS Letters, EarlyView.
Viruses infect all living organisms and have been responsible for major epidemics and pandemics. Their ongoing evolutionary battle with host defenses creates a constant need for improved tools to study viral behavior. Advancing methods to probe viral attachment, fusion, and genome release deepen our understanding of how infections begin and support the
Inbar Yosibash, Raya Sorkin
wiley   +1 more source

Derivative and Lipschitz Type Characterizations of Variable Exponent Bergman Spaces

open access: yesJournal of Function Spaces, 2018
We give derivative and Lipschitz type characterizations of Bergman spaces with log-Hölder continuous variable exponent.
Rumeng Ma, Jingshi Xu
doaj   +1 more source

Design and analysis strategies for robust microbiome ageing research

open access: yesFEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik   +5 more
wiley   +1 more source

Structure‐forward targeting of claudins with synthetic binders

open access: yesFEBS 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

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