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Applications of multiresolution analysis in Besov-Q type spaces and Triebel-lizorkin-Q type spaces

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Frontiers of Mathematics in China 2022年第3期17卷 373-435页

作者： pengtao li Wenchang SUN School of Mathematics and Statistics Qingdao UniversityQingdao 266071China School of Mathematical Sciences Nankai UniversityTianjin 300000China

In this survey,we give a neat summary of the applications of the multi-resolution analysis to the studies of Besov-Q type spaces B_(p,q)^(γ1,γ2) (R^(n))and Triebel-lizorkin-Q type spaces B_(p,q)^(γ1,γ2) (R^(n)).We will state briefly the recent progress on the wavelet characterizations,the boundedness of Calderon-Zygmund operators,the boundary value problem of B_(p,q)^(γ1,γ2) (R^(n)) and F_(p,q)^(γ1,γ2) (R^(n)).We also present the recent developments on the well-posedness of fluid equations with small data in B_(p,q)^(γ1,γ2) (R^(n))and F_(p,q)^(γ1,γ2) (R^(n)).

关键词： Multiresolution analysis regular wavelet Besov-Q type spaces Triebel-lizorkin-Q type spaces

Integral operators on analytic Morrey spaces

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Science China Mathematics 2014年第9期57卷 1961-1974页

作者： li pengtao liU JunMing LOU ZengJian Department of Mathematics Shantou University

In this note,we characterize the boundedness of the Volterra type operator Tg and its related integral operator Ig on analytic Morrey ***,the norm and essential norm of those operators are *** a corollary,we get the c... 详细信息

关键词： analytic Morrey space Volterra type operator essential norm

Uniform convergence rates for spot volatility estimation

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Probability, Uncertainty and Quantitative Risk 2023年第3期8卷 321-332页

作者： Chen li pengtao li Yilun Zhang Institute for Financial Studies Shandong UniversityJinan 250100China School of Mathematics Shandong UniversityJinan 250100China Research Center for Mathematics and Interdisciplinary Sciences Shandong UniversityQingdao 266237China

This study presents the uniform convergence rate for spot volatility estimators based on delta *** and Fourier-based estimators are examples of this type of *** also present the uniform convergence rates for kernel an... 详细信息

关键词： Spot volatility Uniform convergence rates Itôsemimartingale

Harmonic extension of Q-type space related to logarithmic functions

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Frontiers of Mathematics in China 2024年第5期19卷 277-297页

作者： Jie CUI pengtao li School of Mathematics and Statistics Qingdao UniversityQingdao 266071China

This paper studies a class of Q-type spaces Q^(m)_(log,λ)(R^(n))related to logarithmic *** first investigate some basic properties ofQ^(m)_(log,λ)(R^(n)).Further,by the aid of Poisson integral and harmonic function spaces H^(m)_(log,λ)(R_(+)^(n+1)),the harmonic extension of Q^(m)_(log,λ)(R^(n))and the boundary value problem of H^(m)_(log,λ)(R_(+)^(n+1))are obtained.

关键词： Q type space Poisson integral harmonic extension

Excellent strength-ductility synergy properties of gradient nano-grained structural CrCoNi medium-entropy alloy

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Journal of Materials Science & Technology 2022年第17期112卷 195-201页

作者： Wenjie Lu Xian Luo Dou Ning Miao Wang Chao Yang Miaoquan li Yanqing Yang pengtao li Bin Huang State Key Laboratory of Solidification Processing Northwestern Polytechnical UniversityXi’an 710072China Langu Institute for Materials Analysis Co.Ltd Weihai 264207China School of Physics and Optoelectronic Engineering Yangtze UniversityJingzhou 434023China

Tailoring heterogeneities could bring out excellent strength-ductility synergy properties.A gradient nanograined(GNG)structure,*** size range from nanometer(~50 nm)at topest surface layer to micrometer(~1.3μm)at center layer,was successfully introduced into CrCoNi medium-entropy alloy(MEA)by means of high energy shot peening in this *** results demonstrated that this GNG CrCoNi MEA shows excellent strength and ductility combination properties,exhibiting high yield strength and ultimate tensile strength of~1215 MPa and~1524 MPa,respectively,while remaining a good ductility of~23.0%.The extraordinary hetero-deformation induced(HDI)hardening origins from heterogeneous structure,*** structure,which contributes to the majority strength *** reinforced heterogeneous structure during tension process results in the enhanced HDI hardening effect,which facilitates excellent ductility and strain hardening capacity at high-level *** work provide not only a feasible and effective way to strengthen the CrCoNi MEA,and other low stacking faults energy(SFE)materials,but also an useful insight to understanding HDI hardening in heterogeneous structure.

关键词： Medium-entropy alloy Gradient nano-grained structure High energy shot peening Hetero-deformation induced hardening Strength-ductility synergy

Dynamic Expression Analysis and Introgressive Gene Identification of Fiber Length Using Chromosome Segment Substitution lines from ***×***

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Phyton-International Journal of Experimental Botany 2021年第1期90卷 129-144页

作者： pengtao li Quanwei Lu Xianghui Xiao Rui Yang Xixi Duan School of Biotechnology and Food Engineering Anyang Institute of TechnologyAnyang455000China Innovation and Practice Base for Postdoctors Anyang Institute of TechnologyAnyang455000China State Key Laboratory of Cotton Biology Key Laboratory of Biological and Genetic Breeding of CottonThe Ministry of AgricultureInstitute of Cotton ResearchChinese Academy of Agricultural SciencesAnyang455000China

Fiber length is a critical trait that principally determines cotton spinning quality,while Upland cotton as the most widely cultivated Gossypium species around the world subjects to the relatively ordinary fiber *** segment substitution lines(CSSLs)have been introduced in cotton breeding to take full advantages of superior fiber quality and high yield from Sea Island and Upland cotton,respectively,which serve as ideal materials for elucidating the genetic mechanism of complex quantitative ***,three CSSLs derived from CCRI45(***)×Hai1(***),two superior(MBI7561 and MBI7747)and one(MBI7285)with ordinary fiber-quality,were subjected to transcriptome sequencing during fiber elongation together with their recurrent parent CCRI45,and 471.425 million clean reads were obtained with 91.47%average Q30 and 45.23%mean GC *** total,5,673 differentially expressed genes(DEGs)were identified from multi-sample comparisons,which were mainly involved in the oxidation-reduction process,protein phosphorylation,regulation of transcription,DNA template,and carbohydrate metabolic *** temporal expression patterns were monitored on the DEGs of different lines,of which the significantly enriched profile revealed higher similarities between two superior CSSLs or the ordinary CSSL and CCRI45 with respect to fiber *** on the intersection between the predicted introgressive genes from RNAseq data and the published gene information from the *** genome,1,535 introgressive genes were identified in three *** analysis of the three common introgressive sections in superior CSSLs revealed eight candidate genes that were identified to be involved in fiber development,namely,O-fucosyltransferase family protein(GB_A02G0240),glutamine synthetase 2(GB_A02G0272),Ankyrin repeat family protein(GB_A02G0264),beta-6 tubulin(GB_D03G1742),WRKY DNA-binding protein 2(GB_D03G1655),quinolinate synthase(GB_D07G0623),nuclear factor

关键词： Gossypium hirsutum Gossypium barbadense chromosome segment substitution lines RNA-seq fiber length

Radix Achyranthis Bidentatae improves learning and memory capabilities in ovariectomized rats

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Neural Regeneration Research 2013年第18期8卷 1644-1654页

作者： Yuefen Wang Ya Xu Yanshu Pan Weihong li Wei Zhang Yang liu Jing Jia pengtao li Department of Encephalopathy Dongzhimen Hospital Affiliated to Beijing University of Chinese Medicine Department of Basic Chinese Medicine School of Basic Medical Sciences Beijing University of Chinese Medicine Pathology Room Department of Human Morphology School of Basic Medical Sciences Beijing University of Chinese Medicine Medical Comprehensive Course Teaching Center School of Basic Medical Sciences Beijing University of Chinese Medicine Anatomy Room Department of Human Morphology School of Basic Medical Sciences Beijing University of Chinese Medicine

Kidney-tonifying recipe can reduce the accumulation of advanced glycation end products, prevent neuronal degeneration and improve cognitive functions in ovariectomized rats. Radix Achyranthis Bidentatae alcohol extracts may dose-dependently inhibit non-enzymatic saccharification in vitro. This study aimed to examine the effect of Radix Achyranthis Bidentatae on advanced glycation end products and on learning and memory capabilities in ovariectomized rats. Ovariectomized rats were treated with Radix Achyranthis Bidentatae alcohol extracts （containing 1.5 g/kg crude drug） or 0.1% aminoguanidine for 12 weeks and behavioral testing was performed with the Y-electrical maze. This test revealed that Radix Achyranthis Bidentatae and aminoguanidine could improve the learning and memory capabilities of ovariectomized rats. Results of competitive enzyme-linked immunosorbent assay showed that treatment with Radix Achyranthis Bidentatae or aminoguanidine reduced the accumulation of advanced glycation end products in the frontal cortex of ovariectomized rats, while increasing content in the blood and urine. Biochemical tests showed that treatment with Radix Achyranthis Bidentatae or aminoguanidine decreased superoxide dismutase activity in the serum and frontal cortex, and increased serum levels of glutathione peroxidase in ovariectomized rats. In addition there was no apparent effect on malondialdehyde levels. These experimental findings indicate that Radix Achyranthis Bidentatae inhibits production of advanced glycation end products and its accumulation in brain tissue, and improves learning and memory capabilities in ovariectomized rats. These effects may be associated with an anti-oxidative action of the extract.

关键词： neural regeneration traditional Chinese medicine Alzheimer's disease Radix Achyranthis Bidentatae ovariectomy advanced glycation end products cognition learning and memory oxidative stress grants-supported paper neuroregeneration

Superb strength and ductility balance of a Co-free medium-entropy alloy with dual heterogeneous structures

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Journal of Materials Science & Technology 2022年第3期98卷 197-204页

作者： Wenjie Lu Kang Yan Xian Luo Yuetang Wang Le Hou pengtao li Bin Huang Yanqing Yang State Key Laboratory of Solidification Processing Northwestern Polytechnical UniversityXi’an 710072China Langu Institute for Materials Analysis Co.Ltd Weihai 264207China Institute of optics and electronics Chinese Academy of SciencesChengdu 610200China

In present work,we successfully fabricated a novel Co-free non-equiatomic Ni_(46)Cr_(23)Fe_(23)Al_(4)Ti_(4)mediumentropy alloy with dual heterogeneous structures,***-levels grain structures and heterogeneous L1;*** results revealed the dual heterogeneous structures lead to remarkable strength-ductility synergy properties in this Co-free medium-entropy alloy,showing high yield strength and ultimate tensile strength of~1203 MPa and~1633 MPa,respectively,remaining an excellent ductility of~28.7%.Further analyses about strengthening and deformation mechanisms indicated precipitation hardening and hetero-deformation induced hardening contribute the majority strength enhancement,meanwhile deformation-induced hierarchical stacking-faults networks,high density Lomer-Cottrell locks and microstructure features of heterogeneous grains and precipitates substantially facilitate the high work-hardening capacity and excellent tensile *** work not only offers fundamental understanding of the strength and deformation mechanisms of the dual heterogeneous structural material,but also provides useful strength design strategy for low-price high performance high/medium-entropy alloys.

关键词： Dual heterogeneous structures Medium-entropy alloy Co-free Strength-ductility synergy properties

Gaussian BV Functions and Gaussian BV Capacity on Stratified Groups

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Analysis in Theory and Applications 2021年第3期37卷 311-329页

作者： Jizheng Huang pengtao li Yu liu School of Science Beijing University of Posts and TelecommunicationsBeijing 100876China School of Mathematics and Statistics Qingdao UniversityQingdaoShandong 266071China School of Mathematics and Physics University of Science and Technology BeijingBeijing 100083f China

Let G be a stratified lie group and let{X_(1)……,X_(n1)}be a basis of the first layer of the lie algebra of *** sub-Laplacian△G is defined by△G=-n_(1)∑j=1 X^(2)j,The operator defined by△G-n_(1)∑j=1 Xjp/pXj is called the Ornstein-Uhlenbeck operator on G,where p is a heat kernel at time 1 on *** this paper,we investigate Gaussian BV functions and Gaussian BV capacities associated with the Ornstein-Uhlenbeck operator on the stratified lie group.

关键词： Gaussian p bounded variation capacity perimeter stratified lie group