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Oscillation and variation for Riesz transform in setting of Bessel operators on H1 and BMO

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Frontiers of Mathematics in China 2020年第4期15卷 617-647页

作者： xiaona cui Jing ZHANG College of Mathematics and Information Science Henan Normal UniversityXinxiang 453007China School of Mathematics and Statistics Yili Normal UniversityYining 835000China

Letλ〉0,and let the Bessel operator△λ:=-d2/dx2-2λ/x d/dx defined on R+:=(0,∞).We show that the oscillation andρ-variation operators of the Riesz transform R△λassociated with△λare bounded on BMO(R+,dmλ),whereρ>2 and dmλ=x2λ***,we construct a(1,∞)△λ-atom as a counterexample to show that the oscillation andρ-variation operators of R△λare not bounded from to L1(R+,dmλ).Finally,we prove that the oscillation and theρ-variation operators for the smooth truncations associated with Bessel operators R~△λare bounded from H1(R+:dmλ)to L1(R+,dmλ).

关键词： Oscillation operator variation operator Bessel operator

Accurate method based on data filtering for quantitative multi-element analysis of soils using CF-LIBS

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Plasma Science and Technology 2024年第6期26卷 149-158页

作者：韩伟伟孙对兄张国鼎董光辉崔小娜申金成王浩亮张登红董晨钟苏茂根 Key Laboratory of Atomic and Molecular Physics&Functional Material of Gansu Province College of Physics and Electronic EngineeringNorthwest Normal UniversityLanzhou 730070People’s Republic of China Gansu Digital Herb Testing Center Dingxi 743000People’s Republic of China Gansu International Scientific and Technological Cooperation Base of Laser Plasma Spectroscopy Lanzhou 730070People’s Republic of China

To obtain more stable spectral data for accurate quantitative analysis of multi-element,especially for the large-area in-situ elements detection of soils, we propose a method for a multielement quantitative analysis of soils using calibration-free laser-induced breakdown spectroscopy(CF-LIBS) based on data filtering. In this study, we analyze a standard soil sample doped with two heavy metal elements, Cu and Cd, with a specific focus on the line of Cu I324.75 nm for filtering the experimental data of multiple sample sets. Pre-and post-data filtering,the relative standard deviation for Cu decreased from 30% to 10%, The limits of detection(LOD)values for Cu and Cd decreased by 5% and 4%, respectively. Through CF-LIBS, a quantitative analysis was conducted to determine the relative content of elements in soils. Using Cu as a reference, the concentration of Cd was accurately calculated. The results show that post-data filtering, the average relative error of the Cd decreases from 11% to 5%, indicating the effectiveness of data filtering in improving the accuracy of quantitative analysis. Moreover, the content of Si, Fe and other elements can be accurately calculated using this method. To further correct the calculation, the results for Cd was used to provide a more precise calculation. This approach is of great importance for the large-area in-situ heavy metals and trace elements detection in soil, as well as for rapid and accurate quantitative analysis.

关键词： laser-induced breakdown spectroscopy soil data filtering quantitative analysis multielement

Double Hilbert transform on D（R2）

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Frontiers of Mathematics in China 2013年第4期8卷 783-799页

作者： xiaona cui Rui WANG Dunyan YAN School of Mathematical Sciences University of Chinese Academy of Sciences Beijing 100049 China Sch-oolof Mathematics Jilin University Changchun 130012 China

We introduce a space DHH =D（R2） H2H1D（R2）, where D（R2） is the testing function space whose functions are infinitely differentiable and have bounded support, and H2H1D（R2） is the space the double Hilbert transform acting on the testing function space. We prove that the double Hilbert transform is a homeomorphism from DHH onto itself.

关键词： Double Hilbert transform vanishing moments homeomorphism

Boundedness for a Class of Operators on Weighted Morrey Space with RD-measure

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Journal of Partial Differential Equations 2022年第4期35卷 395-408页

作者： cui xiaona LU Yongjin LI Mengmeng Department of Mathematics and Information Science Henan Normal UniversityXinxiang 453007China Department of Mathematics and Statistics Oakland UniversityRochesterMI48309USA College of International Education Henan Normal UniversityXinxiang 453007China.

this paper,we study a class of sublinear operators and their commutators with a weighted BMO *** first give the definition of a weighted Morrey space Lpo(X)where X is an RD-measure and w is the weight *** weighted Morrey spaces arise from studying the local behavior of solutions to certain partial differential *** will show that the aforementioned class of operators and their communtators with a weighted BMO function are bounded in the weighted Morrey space LPpto(X)provided that the weight function w belongs to the Ap(μ)-class and satisfiesthereverseHolder'scondition.

关键词： Weighted Morrey space RD-measure commutator

Identification of key genes and pathways in mild and severe nonalcoholic fatty liver disease by integrative analysis

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Chronic Diseases and Translational Medicine 2021年第4期7卷 276-286页

作者： Jin Feng Tianjiao Wei xiaona cui Rui Wei Tianpei Hong Department of Endocrinology and Metabolism Peking University Third HospitalBeijing 100191China

Background:The global prevalence of nonalcoholic fatty liver disease(NAFLD)is *** pathogenesis of NAFLD is multifaceted,and the underlying mechanisms are *** conducted data mining analysis to gain a better insight into the disease and to identify the hub genes associated with the progression of ***:The dataset GSE49541,containing the profile of 40 samples representing mild stages of NAFLD and 32 samples representing advanced stages of NAFLD,was acquired from the Gene Expression Omnibus *** expressed genes(DEGs)were identified using the R programming *** Database for Annotation,Visualization and Integrated Discovery(DAVID)online tool and Search Tool for the Retrieval of Interacting Genes/Proteins(STRING)database were used to perform the enrichment analysis and construct protein-protein interaction(PPI)networks,***,transcription factor networks and key modules were *** hub genes were validated in a mice model of high fat diet(HFD)-induced NAFLD and in cultured HepG2 cells by real-time quantitative ***:Based on the GSE49541 dataset,57 DEGs were selected and enriched in chemokine activity and cellular component,including the extracellular *** transcription factors associated with DEGs were indicated from PPI *** expression of five hub genes(SOX9,CCL20,CXCL1,CD24,andCHST4),which were identified from the dataset,was also observed in the livers of HFD-induced NAFLD mice and in HepG2 cells exposed to palmitic acid or advanced glycation end ***:The hub genesSOX9,CCL20,CXCL1,CD24,andCHST4 are involved in the aggravation of *** results offer new insights into the underlying mechanism of NAFLD progression.

关键词： Nonalcoholic fatty liver disease Fatty liver Computational biology

NUA and ESD4 negatively regulate ABA signaling during seed germination

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Stress Biology 2022年第1期2卷 211-222页

作者： xiaona cui Mengyang Lv Yuanyuan Cao Ziwen Li Yan Liu Zhenzhen Ren Hairong Zhang College of Life sciences Henan Agricultural UniversityZhengzhou 450002China State Key Laboratory of Wheat and Maize Crop Science Henan Agricultural UniversityZhengzhou 450002China

The phytohormone abscisic acid(ABA)plays important roles in plant growth,development and adaptative responses to abiotic ***1-related protein kinase 2s(SnRK2)are key components that activate the ABA core signaling *** PORE ANCHOR(NUA)is a component of the nuclear pore complex(NPC)that involves in deSU-MOylation through physically interacting with the EARLY IN SHORT DAYS 4(ESD4)SUMO ***,it is not clear how NUA functions with SnRK2 and ESD4 to regulate ABA *** our study,we found that nua loss-of-function mutants exhibited pleiotropic ABA-hypersensitive *** also found that ABA-responsive genes remarkably up-regulated in nua by exogenous *** nua snrk2.2 snrk2.3 triple mutant and nua abi5 double mutant partially rescued the ABA-hypersensitive phenotype of nua,thereby suggesting that NUA is epistatic to ***,we observed that esd4-3 mutant was also *** and ESD4 were further demonstrated to physically interact with SnRK2s and negatively regulate ABA signaling by reducing SnRK2s *** together,our findings uncover a new regulatory mechanism that can modulate ABA signaling.

关键词： ABA signaling SnRK2 SUMOylation NUA ESD4

Raindrop Size Distributions in the Zhengzhou Extreme Rainfall Event on 20 July 2021:Temporal-Spatial Variability and Implications for Radar QPE

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Journal of Meteorological Research 2024年第3期38卷 489-503页

作者： Liman cui Haoran LI Aifang SU Yang ZHANG xiaona LYU Le XI Yuanmeng ZHANG Henan Key Laboratory of Agrometeorological Support and Applied Technique China Meteorological AdministrationZhengzhou450003China State Key Laboratory of Severe Weather Chinese Academy of Meteorological SciencesChina Meteorological AdministrationBeijing100081China Henan Meteorological Observatory Zhengzhou450003China

In this study,a regional Parsivel OTT disdrometer network covering urban Zhengzhou and adjacent areas is employed to investigate the temporal-spatial variability of raindrop size distributions(DSDs)in the Zhengzhou extreme rainfall event on 20 July *** rain rates observed by disdrometers and rain gauges from six operational sites are in good agreement,despite significant site-to-site variations of 24-h accumulated rainfall ranging from 198.3 to 624.1 *** Parsivel OTT observations show prominent temporal-spatial variations of DSDs,and the most drastic change was registered at Zhengzhou Station where the record-breaking hourly rainfall of 201.9 mm over 1500-1600 LST(local standard time)was *** hourly rainfall is characterized by fairly high concentrations of large raindrops,and the mass-weighted raindrop diameter generally increases with the rain rate before reaching the equilibrium state of DSDs with the rain rate of about 50 mm h^(−1).Besides,polarimetric radar observations show the highest differential phase shift(K_(dp))and differential reflectivity(Z_(dr))near surface over Zhengzhou Station from 1500 to 1600 *** light of the remarkable temporal-spatial variability of DSDs,a reflectivity-grouped fitting approach is proposed to optimize the reflectivity-rain rate(Z-R)parameterization for radar quantitative precipitation estimation(QPE),and the rain gauge measurements are used for *** results show an increase of mean bias ratio from 0.57 to 0.79 and a decrease of root-mean-square error from 23.69 to 18.36 for the rainfall intensity above 20.0 mm h^(−1),as compared with the fixed Z-R *** study reveals the drastic temporal-spatial variations of rain microphysics during the Zhengzhou extreme rainfall event and warrants the promise of using reflectivity-grouped fitting Z-R relationships for radar QPE of such events.

关键词： extreme rainfall raindrop size distribution radar quantitative precipitation estimation(QPE)

Local Well-Posedness and Blow Up Criterion for the Inviscid Boussinesq System in Holder Spaces

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Journal of Partial Differential Equations 2012年第3期25卷 220-238页

作者： cui xiaona DOU Changsheng JIU Quansen School of Mathematical Sciences University of Chinese Academy of SciencesBeijing 100049China LCP Institute of Applied Physics and Computational MathematicsBeijing 100088China School of Mathematical Sciences Capital Normal UniversityBeijing 100048China

We prove the local in time existence and a blow up criterion of solution in the Holder spaces for the inviscid Boussinesq system in RN,N ≥ 2, under the assumptions that the initial values θo,uo ∈ Cr, with 1 〈 r ≠ 2.

关键词： Inviscid Boussinesq system local well-posedness blow-up criterion.

NCP1/At MOB1A plays key roles in auxin-mediated Arabidopsis development

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NCP1/At MOB1A plays key roles in auxin-mediated Arabidopsis ...