云南高校图书馆联盟文献共享服务平台- LITTLEWOOD-PALEY

LITTLEWOOD-PALEY: 作品数：106被引量：249H指数：8; 导出分析报告; 相关领域：理学更多>>; 相关作者：王月山束立生丁勇陈艳萍周疆更多>>; 相关机构：北京师范大学安徽师范大学西北师范大学新疆大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家高技术研究发展计划安徽省自然科学基金更多>>

Parameterized Littlewood-Paley Operators and Their Commutators on Two-Weight Grand Homogeneous Variable Herz-Morrey Spaces: 《Journal of Mathematical Research with Applications》2025年第2期231-242,共12页Xijuan CHEN Wenwen TAO Guanghui LU; Supported by the National Natural Science Foundation of China(Grant No.12201500)。; In this paper,the authors prove that the parameterized area integralμ_(Ω,S)^(ρ)and the parameterized Littlewood-Paley g_(δ)^(*)-functionμ_(Ω,δ)^(*,ρ)are bounded on two-weight grand homogeneous variable Herz-Mo...; 关键词：Grand homogeneous variable Herz-Morrey space parameterized area integral parameterized Littlewood-Paley g_(δ)^(*)-function commutator space BMO(R^(n))

A Local Tb Theorem for Square Functions and Parabolic Layer Potentials: 《Acta Mathematica Sinica,English Series》2024年第8期1941-1966,共26页Zhi Dan WANG Guo Ming ZHANG; Supported by Natural Science Foundation of Jiangsu Province of China(Grant No.BK20220324);Natural Science Research of Jiangsu Higher Education Institutions of China(Grant No.22KJB110016)。; In this paper,we give a locally parabolic version of Tb theorem for a class of vector-valued operators with off-diagonal decay in L^(2) and certain quasi-orthogonality on a subspace of L^(2),in which the testing funct...; 关键词：Local Tb theorems Calderon-Littlewood-Paley family Parabolic layer potentials Carleson measure estimates

Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type:Littlewood–Paley Characterizations with Applications to Boundedness of Calderón–Zygmund Operators被引量：1: 《Acta Mathematica Sinica,English Series》2022年第7期1133-1184,共52页Xian Jie YAN Zi Yi HE Da Chun YANG Wen YUAN; Supported by the National Key Research and Development Program of China(Grant No.2020YFA0712900);the National Natural Science Foundation of China(Grant Nos.11971058,12071197 and 11871100);the Fundamental Research Funds for the Central Universities(Grant Nos.500421359 and 500421126)。; Let(X,ρ,μ)be a space of homogeneous type in the sense of Coifman and Weiss,and Y(X)a ball quasi-Banach function space on X,which supports both a Fefferman–Stein vector-valued maximal inequality and the boundedness ...; 关键词：ball quasi-Banach function space Hardy space space of homogeneous type Littlewood-Paley function Calderón-Zygmund operator

On Function Spaces with Mixed Norms—A Survey被引量：4: 《Journal of Mathematical Study》2021年第3期262-336,共75页Long Huang Dachun Yang; the National Natural Science Foundation of China(Grant Nos.11971058,11761131002 and 11671185).; The targets of this article are threefold.The first one is to give a survey on the recent developments of function spaces with mixed norms,including mixed Lebesgue spaces,iterated weak Lebesgue spaces,weak mixed-norm ...; 关键词：Mixed norm (weak)Lebesgue space Morrey space Hardy space maximal function Littlewood-Paley function Calder(o)n-Zygmund operator

Littlewood-Paley Functions and Triebel-Lizorkin Spaces,Besov Spaces: 《Analysis in Theory and Applications》2021年第3期267-288,共22页Dashan Fan Fayou Zhao; supported by National Natural Science Foundation of China(Grant Nos.11971295,11871108 and 11871436);Natural Science Foundation of Shanghai(No.19ZR1417600).; We establish Littlewood-Paley charaterizations of Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several square functions defined via the spherical average,the ball average,the Bochner-Riesz means ...; 关键词：Littlewood-Paley square functions Triebel-Lizorkin spaces Besov spaces spherical average ball average Bochner-Riesz means.

Littlewood-Paley积分与Q<sub>K</sub>型空间的刻画: 《理论数学》2021年第3期377-386,共10页崔洁; 本文主要研究一类新的一维Q型空间——QK,λ p(Ra)。首先给出了QK,λ p(Ra)的若干基本性质。进而通过一类Littlewood-Paley函数Φ所构成的卷积算子,得到了该空间的Carleson测度刻画。; 关键词：Q型空间 CARLESON测度 Littlewood-Paley函数

索伯列夫空间的广义Littlewood-Paley刻画: 《数学进展》2020年第3期349-359,共11页吴太娟黄强; 浙江省自然科学基金(No.LQ18A010005);国家自然科学基金(No.11801518).; 本文用含有满足阿尔夫斯正则性的测度μ的广义Littlewood-Paley平方函数刻画了分数次索伯列夫空间Wα,p(Rn),1; 关键词：索伯列夫空间 Littlewood-Paley平方函数阿尔夫斯正则性

Hardy space estimates for bi-parameter Littlewood-Paley square functions: 《Frontiers of Mathematics in China》2020年第2期333-349,共17页Fanghui LIAO Zhengyang LI; supported in part by the National Natural Science Foundation of China(Grant Nos.11901495,11771345);the Hunan Provincial Natural Science Foundation(2019JJ50573);the Hunan Education Department Project(18C0109).; Suppose that g(f)are bi-parameter Littlewood-Paley square functions which were introduced by H.Martikainen.It is known that the L^2(R^n×R^m)boundedness and the H1(R^n×R^m)-L1(R^n×R^m)boundedness of g(f)have been pr...; 关键词：Hardy space Littlewood-Paley square function Journe’s covering lemma atomic decomposition

Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations: 《Communications in Mathematical Research》2020年第1期31-50,共20页Siyu Liang Ping Zhang Rongchan Zhu; S.Liang is grateful to the financial supports of the DFG through IRTG 2235.R Zhang is partially supported by NSF of China under Grants 11371347 and 11688101,and innovation grant from National Center for Mathematics and Interdisciplinary Sciences.。; The goal of this article is to provide a lower bound for the lifespan of smooth solutions to 3-D anisotropic incompressible Navier-Stokes system,which in particular extends a similar type of result for the classical 3...; 关键词：ANISOTROPIC NAVIER-STOKES system LITTLEWOOD-PALEY theory LIFESPAN

BOUNDEDNESS OF MULTILINEAR LITTLEWOOD-PALEY OPERATORS ON AMALGAM-CAMPANATO SPACES: 《Acta Mathematica Scientia》2020年第1期272-292,共21页Xiang LI Qianjun HE Dunyan YAN; Supported in part by the Natural Science Foundation of China(11471309 and 11561062)。; In this paper,we consider the boundedness of multilinear Littlewood-Paley operators which include multilinear g-function,multilinear Lusin's area integral and multilinear Littlewood-Paley g^*λ-function.Furthermore,no...; 关键词：MULTILINEAR LITTLEWOOD-PALEY G-FUNCTION MULTILINEAR g^*λ-function AmalgamCampanato SPACES

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