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Boundedness of Marcinkiewicz integral on Triebel-Lizorkin spaces

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Applied Mathematics(A Journal of Chinese Universities) 2010年第1期25卷 48-54页

作者： zhang chun-jie CHEN jie-cheng College of Science Hanzhou Dianzi University Hangzhou 310018 China Department of Mathematics Zhejiang University Hangzhou 310027 China

In this paper, we prove the Triebel-Lizorkin boundedness for the Marcinkiewicz integral with rough kernel. The method we apply here enables us to consider more general operators.

关键词： Marcinkiewicz integral Triebel-Lizorkin spaces rough kernel singular integral.

Boundedness of oscillatory singular integral with rough kernels on Triebel-Lizorkin spaces

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Applied Mathematics(A Journal of Chinese Universities) 2013年第1期28卷 90-100页

作者： zhang chun-jie zhang Yan-dan School of Science Hangzhou Dianzi University Department of Mathematics Zhejiang University of Science & Technology

In this paper, we will prove the Triebel-Lizorkin boundedness for some oscillatory singular integrals with the kernel （x） satisfying a condition introduced by Grafakos and Stefanov. Our theorems will be proved under various conditions on the phase function, radial and nonradial. Since the L p boundedness of these operators is not complete yet, the theorems extend many known results.

关键词： Oscillatory singular integral Triebel-Lizorkin space rough kernel phase function.

A note on parameterized Marcinkiewicz integrals with variable kernels

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Applied Mathematics(A Journal of Chinese Universities) 2009年第3期24卷 315-320页

作者： WANG Hui zhang chun-jie Department of Mathematics Zhejiang University Hangzhou 310027 China Department of Mathematics Hangzhou Dianzi University Hangzhou 310018 China

In this paper,the parameterized Marcinkiewicz integrals with variable kernels defined by μΩ^ρ（f）（x）=（∫0^∞│∫│1-y│≤t Ω（x,x-y）/│x-y│^n-p f（y）dy│^2dt/t1＋2p）^1/2 are *** is proved that if Ω∈ L∞（R^n） × L^r（S^n-1）（r〉（n-n1p＇/n） is an odd function in the second variable y,then the operator μΩ^ρ is bounded from L^p（R^n） to L^p（R^n） for 1 〈 p ≤ max{（n＋1）/2,2}.It is also proved that,if Ω satisfies the L^1-Dini condition,then μΩ^ρ is of type（p,p） for 1 〈 p ≤ 2,of the weak type（1,1） and bounded from H1 to L1.

关键词： parameterized Marcinkiewicz integral variable kernel rotation method

Boundedness of singular integrals along surfaces on Lebesgue spaces

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Applied Mathematics(A Journal of Chinese Universities) 2010年第2期25卷 192-198页

作者： zhang Yan-dan CHEN jie-cheng zhang chun-jie Department of Mathematics Zhejiang University of Technology Hangzhou 310023 China Department of Mathematics Zhejiang University Hangzhou 310027 China College of Science Hangzhou Dianzi University Hangzhou 310018 China

In the paper, we establish the LP（Rn＋1）-boundedness for a class of singular integral operators associated to surfaces of revolution {（y,γ（｜y｜）, y ∈ Rn} with rough kernels. We also give several applications o... 详细信息

关键词： Singular integrals surfaces rough kernels Plancherel's theorem oscillatory singular integrals.

A note on the Marcinkiewicz integral operators on F_p^(α,q)

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2007年第12期8卷 2037-2040页

作者： zhang chun-jie QIAN Rui-rui Department of Mathematics Zhejiang University Hangzhou 310027 China Sci-Tech Section Zhejiang Sci-Tech University Hangzhou 210018 China

In this paper, we shall prove that the Marcinkiewicz integral operator #n, when its kernel Ω satisfies the L^1-Dini condition, is bounded on the Triehel-Lizorkin spaces. It is well known that the Triehel-Lizorkin spaces are generalizations of many familiar spaces such as the Lehesgue spaces and the Soholev spaces. Therefore, our result extends many known theorems on the Marcinkiewicz integral operator. Our method is to regard the Marcinkiewicz integral operator as a vector valued singular integral. We also use another characterization of the Triehel-Lizorkin space which makes our approach more clear.

关键词： Marcinkiewicz integral Triebel-Lizorkin spaces Fourier transtforms

Boundedness of Hausdorff operators on some product Hardy type spaces

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Applied Mathematics(A Journal of Chinese Universities) 2012年第1期27卷 114-126页

作者： CHEN jie-cheng FAN Da-shan zhang chun-jie Department of Mathematics Zhejiang Normal UniversityJinhua 321004China Department of Mathematics University of WisconsimMilwaukeeMilwaukeeWI 53201USA School of Science Hangzhou Dianzi UniversityHangzhou 310018China

We study Hausdorff operators on the product Besov space B0,1 1 （Rn ×Rm） and on the local product Hardy space h1 （Rn ×Rm）. We establish some boundedness criteria for Hausdorff operators on these function spaces.

关键词： Hausdorff operator atomic decomposition product Besov space product Hardy space productlocal Hardy space.

Factors influencing the functional significance in intermediate coronary stenosis

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Journal of Geriatric Cardiology 2015年第2期12卷 107-112页

作者： Li-jie SUN Gui-Song WANG Ming CUI Li-Jun GUO Yong-Zhen zhang Fu-chun zhang jie NIU Jiang-Li HAN Wei-Xian XU Dan ZHU Wei GAO Department of Cardiology Peking University Third Hospital 49 North Huayuan Road Haidian D&trict Beijingl O0191 China

Objective To analyze the influencing factors of the functional significance determined by fractional flow reserve （FFR） in interme- diate coronary artery stenosis. Methods The study enrolled 143 patients with 203 intermediate coronary lesions. Pressure-derived FFR of these lesions was gained at maximal hyperemia induced by intravenous adenosine infusion. An FFR 〈 0.80 was considered as abnormal functional significance. Anatomic parameters at the lesion sites were obtained by off-line quantitative coronary angiography analysis （QCA）. The predictive value of the demographic characteristics and anatomic parameters for FFR in these intermediate lesions was assessed using multiple linear and binary logistic regression analysis. Results Overall, FFR 〈 0.8 was found in 70 （34%） of the total 203 intermediate coronary lesions. FFR values were positively correlated with QCA-measured minimum lumen diameters （MLD, r = 0.372, P = 0.000） and the reference vessel diameters （RVD, r = 0.217, P〈 0.002） were negatively correlated with percent area stenosis （AS, r = -0.251, P = 0.000） and percent diameter stenosis （DS, r = -0.210, P = 0.000）. Age, MLD and the lesion location in different coronary arteries were the inde- pendent determinants of FFR 〈 0.8. Conclusions MLD can predict the functional significance of intermediate coronary stenosis, while age and the lesion location in different coronary arteries should be taken into account as important influencing factors of FFR values.

关键词： Fractional flow reserve Influencing factors Intermediate coronary lesion Quantitative coronary angiography

Inhibition of epidermal growth factor receptor expression by RNA interference in A549 cells

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Acta Pharmacologica Sinica 2004年第1期 63-69页

作者： Min zhang, Xin zhang, chun-xue BAI, jie CHEN, MinQ WEILung Department of Zhong Shan Hospital, Fudan University, Shanghai 200032, China Department of Medicine, University of Queensland, Brisbane Qld 4032, Australia

AIM: To investigate the biological features of A549 cells in which epidermal growth factor (EGF) receptors expression were suppressed by RNA interference (RNAi). METHODS: A549 cells were transfected using short small interfering RNAs (siRNAs) formulated with Lipofectamine 2000. The EGF receptor numbers were determined by Western blotting and flowcytometry. The antiproliferative effects of sequence specific double stranded RNA (dsRNA) were assessed using cell count, colony assay and scratch assay. The chemosensitivity of transfected cells to cisplatin was measured by MTT. RESULTS: Sequence specific dsRNA-EGFR down-regulated EGF receptor expression dramatically. Compared with the control group, dsRNA-EGFR reduced the cell number by 85.0 %, decreased the colonies by 63.3 %, inhibited the migration by 87.2 %, and increased the sensitivity of A549 to

关键词： epidermal growth factor receptor RNA interference double-stranded RNA small interfering RNA non-small-cell lung carcinoma

Ideal Bi‑Based Hybrid Anode Material for Ultrafast Charging of Sodium‑Ion Batteries at Extremely Low Temperatures

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Nano-Micro Letters 2025年第3期17卷 152-167页

作者： jie Bai Jian Hui Jia Yu Wang chun Cheng Yang Qing Jiang Key Laboratory of Automobile Materials(Jilin University) Ministry of EducationSchool of Materials Science and EngineeringJilin UniversityChangchun 130022People’s Republic of China

Sodium-ion batteries have emerged as competitive substitutes for low-temperature applications due to severe capacity loss and safety concerns of lithium-ion batteries at−20°C or ***,the key capability of ultrafast charging at ultralow temperature for SIBs is rarely ***,a hybrid of Bi nanoparticles embedded in carbon nanorods is demonstrated as an ideal material to address this issue,which is synthesized via a high temperature shock *** a hybrid shows an unprecedented rate performance(237.9 mAh g^(−1)at 2 A g^(−1))at−60℃,outperforming all reported SIB anode *** with a Na_(3)V_(2)(PO_(4))_(3)cathode,the energy density of the full cell can reach to 181.9 Wh kg^(−1)at−40°*** on this work,a novel strategy of high-rate activation is proposed to enhance performances of Bi-based materials in cryogenic conditions by creating new active sites for interfacial reaction under large current.

关键词： Bi nanoparticles High temperature shock High-rate activation Ultrafast charging Low-temperature sodium-ion batteries