On the sharpness of some quantitative Muckenhoupt–Wheeden inequalities
In the recent work [Cruz-Uribe et al. (2021)] it was obtained that \[ |\lbrace x\in {\mathbb{R}^d}:w(x)|G(fw^{-1})(x)|>\alpha \rbrace |\lesssim \frac{[w]_{A_1}^2}{\alpha }\int _{{\mathbb{R}^d}}|f|\,\mathrm{d} x \] both in the matrix and scalar settings ...
Lerner, Andrei K. +3 more
doaj +1 more source
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source
Single‐molecule DNA flow‐stretch assays for high‐throughput DNA–protein interaction studies
We describe an optimised single‐molecule DNA flow‐stretch assay that visualises DNA–protein interactions in real time. Linear DNA fragments are tethered to a surface and stretched by buffer flow for fluorescence imaging. Using λ and φX174 DNA, this protocol enhances reproducibility and accessibility, providing a versatile approach for studying diverse ...
Ayush Kumar Ganguli +8 more
wiley +1 more source
RoundMi: A quantitative method to analyze mitochondrial morphology in mitotic cells
RoundMi is a workflow for rapid analysis of mitochondrial morphology in mitotic cells. By combining adaptive preprocessing with automated segmentation and quantification, it enables accurate measurements from single focal plane images, reducing acquisition time and computational demands while remaining compatible with high‐throughput fixed and live ...
Elmira Parvindokht Bararpour +2 more
wiley +1 more source
Sharp Lorentz Estimates for Dyadic-like Maximal Operators and Related Bellman Functions [PDF]
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Antonios D. Melas +1 more
openaire +3 more sources
Transcripts enriched in codons that trigger P‐site tRNA‐mediated mRNA decay possess stable mRNA
PTMD codons were first described by Mendel et al. as mediators of an mRNA decay pathway dependent on the human protein CNOT3, homologous to yeast Not5. Our findings confirm that PTMD codons destabilize transcripts; however, unlike in yeast, the human pathway specifically targets and slightly destabilizes primarily stable mRNAs.
Rodolfo Lopes Carneiro +1 more
wiley +1 more source
Modulation, plasticity and pathophysiology of the parallel fiber-Purkinje cell synapse
The parallel fiber-Purkinje cell synapse represents the point of maximal signal divergence in the cerebellar cortex with an estimated number of about 60 billion synaptic contacts in the rat and 100,000 billions in humans.
Eriola Hoxha +3 more
doaj +1 more source
Protocol for quantifying miRNA trafficking across the endosomal membrane
An in vitro protocol measures miRNA uptake into endosomes isolated from mammalian cell extracts, which are free of subcellular contaminants. Performed at 37 °C in the presence of ATP, it ensures the import of single‐stranded miRNA into the endosomal lumen.
Syamantak Ghosh +2 more
wiley +1 more source
Sharp Maximal Function Inequalities and Boundedness for Commutators of Riesz Transforms of Schr¨odinger Operators [PDF]
In this paper, we establish the sharp maximal function estimates for the commutators associated with the Riesz transforms of Schrodinger operators. As an application, we obtain the boundedness of the commutator on Lebesgue, Morrey and Triebel-Lizorkin ...
Liu, Lanzhe
core +1 more source
Sharp total variation results for maximal functions
In this article, we prove some total variation inequalities for maximal functions. Our results deal with two possible generalizations of the results contained in Aldaz and Pérez Lázaro's work, one of whose considers a variable truncation of the maximal function, and the other one interpolates the centered and the uncentered maximal functions.
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