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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.

L^(2) Boundedness of the Fourier Integral Operator with Inhomogeneous Phase Functions

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Acta Mathematica Sinica,English Series 2023年第8期39卷 1525-1546页

作者： Jia Wei DAI jie cheng CHEN School of Electronic and Information Engineering(School of Big Data Science) Taizhou UniversityTaizhou 318000P.R.China Department of Mathematics Zhejiang Normal UniversityJinhua 321004P.R.China

In this paper,we investigate the L^(2) boundedness of the Fourier integral operator Tφ,a with smooth and rough symbols and phase functions which satisfy certain non-degeneracy *** particular,if the symbol a∈L∞Smρ,the phase functionφsatisfies some measure conditions and ∇kξφ(·,ξ)L∞≤C|ξ|−k for all k≥2,ξ≠0,and some∈>0,we obtain that Tφ,a is bounded on L^(2) if m

关键词： Fourier integral operator,L^(2)boundedness inhomogeneous phase

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Estimating high-spatial resolution surface daily longwave radiation from the instantaneous Global LAnd Surface Satellite(GLASS)longwave radiation product

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International Journal of Digital Earth 2021年第11期14卷 1674-1704页

作者： Qi Zeng jie cheng State Key Laboratory of Remote Sensing Science jointly sponsored by Beijing Normal University and Institute of Remote Sensing and Digital Earth of Chinese Academy of SciencesBeijingPeople’s Republic of China Institute of Remote Sensing Science and Engineering Faculty of Geographical ScienceBeijing Normal UniversityBeijingPeople’s Republic of China

In this paper,time extension methods,originally designed for clear-sky land surface conditions,are used to estimate high-spatial resolution surface daily longwave(LW)radiation from the instantaneous Global LAnd Surface Satellite(GLASS)longwave radiation *** performance of four time methods were first tested by using ground based flux measurements that were collected from 141 global *** with the accuracy of daily LW radiation estimated from the instantaneous GLASS LW radiation,the linear sine interpolation method performs better than the other methods and was employed to estimate the daily LW radiation as follows:The bias/Root Mean Square Error(RMSE)of the linear sine interpolation method were−6.30/15.10 W/m^(2)for the daily longwave upward radiation(LWUP),−1.65/27.63 W/m2 for the daily longwave downward radiation(LWDN),and 4.69/26.42 W/m^(2)for the daily net longwave radiation(LWNR).We found that the lengths of the diurnal cycle of LW radiation are longer than the durations between sunrise and sunset and we proposed increasing the day length by 1.5 *** accuracies of daily LW radiation were improved after adjusting the day *** bias/RMSE were−4.15/13.74 W/m2 for the daily LWUP,−1.3/27.52 W/m^(2)for the daily LWDN,and 2.85/25.91 W/m^(2)for the daily *** are producing long-term surface daily LW radiation values from the GLASS LW radiation product.

关键词： Surface longwave radiation surface longwave net radiation GLASS time extension method surface radiation budget

Estimating global land surface broadband thermal-infrared emissivityusing advanced very high resolution radiometer optical data

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International Journal of Digital Earth 2013年第S01期6卷 34-49页

作者： jie cheng Shunlin Liang State Key Laboratory of Remote Sensing Science College of Global Change and Earth System ScienceBeijing Normal UniversityBeijingChina Department of Geographical Science University of MarylandCollege ParkMDUSA

An algorithm for retrieving global eight-day 5 km broadband emissivity (BBE)from advanced very high resolution radiometer (AVHRR) visible and nearinfrared data from 1981 through 1999 was presented. Land surface was dividedinto three types according to its normalized difference vegetation index (NDVI)values: bare soil, vegetated area, and transition zone. For each type, BBE at813.5 mm was formulated as a nonlinear function of AVHRR reflectance forChannels 1 and 2. Given difficulties in validating coarse emissivity products withground measurements, the algorithm was cross-validated by comparing retrievedBBE with BBE derived through different methods. Retrieved BBE was initiallycompared with BBE derived from moderate-resolution imaging spectroradiometer (MODIS) albedos. Respective absolute bias and root-mean-square errorwere less than 0.003 and 0.014 for bare soil, less than 0.002 and 0.011 fortransition zones, and 0.002 and 0.005 for vegetated areas. Retrieved BBE wasalso compared with BBE obtained through the NDVI threshold method. Theproposed algorithm was better than the NDVI threshold method, particularly forbare soil. Finally, retrieved BBE and BBE derived from MODIS data wereconsistent, as were the two BBE values.

关键词： earth observation broadband emissivity global land surface satellite soil taxonomy advanced very high resolution radiometer moderate-resolution imaging spectroradiometer

A New Rational Algebraic Approach to Find Exact Analytical Solutions to a （2＋1）-Dimensional System

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Communications in Theoretical Physics 2007年第5X期48卷 801-810页

作者： BAI cheng-jie ZHAO Hong Communication School Shandong Normal University Jinan 250014 China School of Physical Science and Information Engineering Liaocheng University Liaocheng 252059 China

In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential equations. Compared with most existing tanh methods and other sophisticated methods, the proposed method not only recovers some known solutions, but also finds some new and general solutions. The solutions obtained in this paper include rational form triangular periodic wave solutions, solitary wave solutions, and elliptic doubly periodic wave solutions. The efficiency of the method can be demonstrated on （2＋1）-dimensional dispersive long-wave equation.

关键词： rational algebraic approach (2+1)-dimensional dispersive long-wave equation exact solutions

Endpoint Estimates for Commutators of Multilinear Fractional Integral Operators

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Acta Mathematica Sinica,English Series 2010年第3期26卷 433-444页

作者： Xiao YU jie cheng CHEN Department of Mathematics Zhejiang University Hangzhou 310027 P. R. China

In this paper, the weak type LlogL estimate for the multilinear fractional commutator is obtained by introducing a new kind of maximal operator of the multilinear fractional order associated with the mean Luxumburg no... 详细信息

关键词： multilinear commutator Young function Luxemburg norm fractional integral

Compactness for the commutators of multilinear singular integral operators with non-smooth kernels

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Applied Mathematics(A Journal of Chinese Universities) 2019年第1期34卷 55-75页

作者： BU Rui CHEN jie-cheng Department of Mathematics Qingdao University of Science and Technology Department of Mathematics Zhejiang Normal University

In this paper, the behavior for commutators of a class of bilinear singular integral operators associated with non-smooth kernels on the product of weighted Lebesgue spaces is considered. By some new maximal functions to control the commutators of bilinear singular integral operators and CMO(Rn) functions, compactness for the commutators is proved.

关键词： singular integral operator maximal function weighted norm inequality commutator compact operator

The (L^p,F_p^(β,∞))-Boundedness of Commutators of Multipliers

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Acta Mathematica Sinica,English Series 2005年第4期21卷 765-772页

作者： Pu ZHANG jie cheng CHEN Institute of Mathematics Zhejiang University of Sciences Hangzhou 310018 P. R. China Department of Mathematics Zhejiang University Hangzhou 310028 P. R. China

In this paper, we study the commutator generalized by a multiplier and a Lipschitz function. Under some assumptions, we establish the boundedness properties of it from L^P（R^n） into Fp^β,∞（R^n）, the Triebel Lizo... 详细信息

关键词： Multiplier Commutator Lipschitz space Triebel Lizorkin space

Global Well-posedness of Generalized Magnetohydrodynamics Equations in Variable Exponent Fourier–Besov–Morrey Spaces

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Acta Mathematica Sinica,English Series 2022年第12期38卷 2187-2198页

作者： Muhammad Zainul ABIDIN jie cheng CHEN College of Mathematics and Computer Science Zhejiang Normal UniversityJinhua 321004P.R.China

A generalized incompressable magnetohydrodynamics system is considered in this ***, results of global well-posednenss are established with the aid of Littlewood–Paley decomposition and Fourier localization method in mentioned system with small initial condition in the variable exponent Fourier–Besov–Morrey spaces. Moreover, the Gevrey class regularity of the solution is also achieved in this paper.

关键词： Generalized MHD global well-posedness variable exponent Fourier–Besov–Morrey(FBM)space analyticity