WEIGHTS

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New Characterization of Morrey–Herz Spaces and Morrey–Herz–Hardy Spaces with Applications to Various Linear Operators
《Acta Mathematica Sinica,English Series》2025年第1期327-354,共28页Kwok Pun Ho Yoshihiro Sawano 
supported by Japan Society for the Promotion of Science(Grant No.23K03156)。
This paper is an offspring of the previous study on Herz spaces.A new characterization of Morrey–Herz spaces is given.As applications,the boundedness of various operators is obtained.For example,higher-order commutat...
关键词:Herz spaces WEIGHTS Hardy spaces 
Greedy Lattice Paths with General Weights
《Acta Mathematica Sinica,English Series》2024年第9期2213-2222,共10页Yin Shan CHANG An Qi ZHENG 
Supported by National Natural Science Foundation of China(Grant No.11701395)。
Let{X_(v):v∈Z^(d)}be i.i.d.random variables.Let S(π)=Σ_(v∈π)X_(v)be the weight of a self-avoiding lattice pathπ.Let M_(n)=max{S(π):πhas length n and starts from the origin}.We are interested in the asymptotics...
关键词:Last passage percolation first passage percolation greedy lattice path 
Toeplitz Operators and Carleson Measures for Weighted Bergman Spaces Induced by Regular Weights
《Acta Mathematica Sinica,English Series》2024年第5期1345-1359,共15页Jun Tao DU Song Xiao Hasi WULAN 
supported by NNSF of China(Grant No.12271328);Guangdong Basic and Applied Basic Research Foundation(Grant No.2022A1515012117);Projects of Talents Recruitment of GDUPT(Grant No.2022rcyj2008);supported by STU Scientific Research Initiation Grant(Grant No.NTF23004)。
In this paper,we give a universal description of the boundedness and compactness of Toeplitz operator T_(μ)^(ω)between Bergman spaces A_(η)^(p)and A_(υ)^(q)whenμis a positive Borel measure,1
关键词:Bergman space Carleson measure Toeplitz operator regular weight 
New Weighted Norm Inequalities for Certain Classes of Multilinear Operators on Morrey-type Spaces
《Acta Mathematica Sinica,English Series》2021年第6期911-925,共15页Nan ZHAO Jiang ZHOU 
Supported by National Natural Science Foundation of China(Grant No.11661075)。
Applying the new class of multiple weights A^(θ)_(p),we establish some weighted norm inequalities for certain classes of multilinear operators in the Morrey-type spaces.In addition,the new multiple weighted norm ineq...
关键词:A^(θ)_(p)weights multilinear operator COMMUTATORS Morrey-type spaces BMOθspaces 
Hankel Operators on Bergman Spaces of Annulus Induced by Regular Weights
《Acta Mathematica Sinica,English Series》2021年第5期775-804,共30页Li Hong YANG Xiao Feng WANG Jin XIA 
Supported by NNSF of China(Grant Nos.11971125,11471084)。
This paper is devoted to studying Bergman spaces A_(ω_(1,2))^(p)(M)(1
关键词:Hankel operators regular-weight ANNULUS Bergman spaces 
Derivatives of Frobenius and Derivatives of Hodge–Tate Weights
《Acta Mathematica Sinica,English Series》2021年第1期1-34,共34页Bing Yong XIE 
the National Natural Science Foundation of China(Grant No.11671137)。
In this paper we study the derivatives of Frobenius and the derivatives of Hodge–Tate weights for families of Galois representations with triangulations.We generalize the Fontaine–Mazur L-invariant and use it to bui...
关键词:Fontaine–Mazur L-invariant Galois representation 
Large Deviations in Generalized Random Graphs with Node Weights
《Acta Mathematica Sinica,English Series》2018年第10期1626-1634,共9页Qun LIU Zhi Shan DONG 
Supported by National Natural Science Foundation of China(Grant Nos.11371169 and 11671168)
Generalized random graphs are considered where the presence or absence of an edge de- pends on the weights of its nodes. Our main interest is to investigate large deviations for the number of edges per node in such a ...
关键词:Large deviations MIXTURE generalized random graphs 
Sharp Bounds for Fractional One-sided Operators
《Acta Mathematica Sinica,English Series》2016年第11期1255-1278,共24页Maria Silvina RIVEROS Raul Emilio VIDAL 
Supported by CONICET and SECYT-UNC
In this paper, we characterize the sharp boundedness of the one-sided fractional maximal function for one-weight and two-weight inequalities. Also a new two-weight testing condition for the one-sided fractional maxima...
关键词:One-sided fractional integrals one-sided maximal fractional function EXTRAPOLATION Saw-yer weights 
Multiple Weighted Estimates for Commutators of Multilinear Maximal Function被引量:6
《Acta Mathematica Sinica,English Series》2015年第6期973-994,共22页Pu ZHANG 
Supported by National Natural Science Foundation of China(Grant No.11271162);the Scientific Research Fund of Heilongjiang Provincial Education Department(Grant No.12531720);the Scientific Research Fund of Mudanjiang Normal University(Grant No.GY201305)
Let M be the multilinear maximal function and = (b1, . . . , bm) be a collection of locally integrable functions. Denote by M and [,M] the maximal commutator and the commutator of M with , respectively. In this pape...
关键词:Multilinear maximal function multiple weights COMMUTATOR BMO 
Weighted Estimates for Multilinear Pseudodifferential Operators被引量:3
《Acta Mathematica Sinica,English Series》2014年第8期1281-1288,共8页Kang Wei LI Wen Chang SUN 
Supported partially by the National Natural Science Foundation of China(Grant No.11371200);the Research Fund for the Doctoral Program of Higher Education(Grant No.20120031110023)
In this paper,we study the weighted estimates for multilinear pseudodifferential operators.We show that a multilinear pseudodifferential operator is bounded with respect to multiple weights whenever its symbol satisfi...
关键词:Multiple weights nmltilinear pseudodifferential operators 
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