检索结果-南通市图书馆

Pointwise Characterizations of Besov and triebel–lizorkin spaces with Generalized Smoothness and Their Applications

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2022年第4期38卷 623-661页

作者： Zi Wei LI Da Chun YANG Wen YUAN Laboratory of Mathematics and Complex Systems(Ministry of Education of China) School of Mathematical SciencesBeijing Normal UniversityBeijing 100875P.R.China

In this article,the authors first establish the point wise characterizations of Besov and triebel-lizorkin spaces with generalized smoothness on R;via the Hajlasz gradient sequences,which serve as a way to extend these spaces to more general metric measure spaces.Moreover,on metric spaces with doubling measures,the authors further prove that the Besov and the triebel-lizorkin spaces with generalized smoothness defined via Hajlasz gradient sequences coincide with those defined via hyperbolic fillings.As an application,some trace theorems of these spaces on Ahlfors regular spaces are established.

关键词： Besov space triebel-lizorkin space generalized smoothness Hajlasz gradient hyperbolic filling trace

Inhomogeneous Besov and triebel-lizorkin spaces associated with a para-accretive function and their applications

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 2023年第4期38卷 493-509页

作者： LIAO Fang-hui LIU Zong-guang ZHANG Xiao-jin School of Mathematics and Computational Science Xiangtan UniversityXiangtan 411105China Department of Mathematics China University of Mining and TechnologyBeijing 100083China Department of basic curriculum North China Institute of Science and TechnologyLangfang 065201China

In this paper,using inhomogeneous Calderon’s reproducing formulas and the space of test functions associated with a para-accretive function,the inhomogeneous Besov and triebellizorkin spaces are established.As applic... 详细信息

关键词： para-accretive function Calderon's reproducing formula Besov space triebel-lizorkin space pointwise multiplier

Difference Characterization of Besov and triebel-lizorkin spaces on spaces of Homogeneous Type

在线全文

学校读者我要写书评

暂无评论

Communications in Mathematics and Statistics 2022年第3期10卷 483-542页

作者： Fan Wang Ziyi He Dachun Yang Wen Yuan Laboratory of Mathematics and Complex Systems(Ministry of Education of China) School of Mathematical SciencesBeijing Normal UniversityBeijing 100875People’s Republic of China School of Science Beijing University of Posts and TelecommunicationsBeijing 100876People’s Republic of China

In this article,the authors introduce the spaces of Lipschitz type on spaces of homogeneous type in the sense of Coifman and Weiss,and discuss their relations with Besov and triebel-lizorkin spaces.As an application,the authors establish the difference characterization of Besov and triebel-lizorkin spaces on spaces of homogeneous type.A major novelty of this article is that all results presented in this article get rid of the dependence on the reverse doubling assumption of the considered measure of the underlying spaceχvia using the geometrical property ofχexpressed by its dyadic reference points,dyadic cubes,and the(local)lower bound.Moreover,some results when p≤1 but near to 1 are new even whenχis an RD-space.

关键词： space of homogeneous type Calderón reproducing formula Besov space triebel-lizorkin space Lipschitz-type space Difference

Boundedness on triebel-lizorkin and Lebesgue spaces of Multilinear Singular Integral Operators Satisfying a Variant of Hormander’s Condition

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2022年第3期38卷 322-334页

作者： Dazhao Chen School of Science Shaoyang UniversityShaoyangHunan 422000China

The boundedness on triebel-lizorkin and Lebesgue spaces of the multilinear operators associated to some singular integral operators satisfying a variant of Hörmander’s condition are obtained.

关键词： Multilinear operator singular integral operator variant of Hörmander’s condition triebel-lizorkin space Lipschitz space

Boundedness of iterated spherical average

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Frontiers of Mathematics in China 2023年第2期18卷 125-137页

作者： Rui BU Qiang HUANG Yingjun SHAO Department of Mathematics Qingdao University of Science and TechnologyQingdao 266000China Department of Mathematical Sciences Zhejiang Normal UniversityJinhua 321000China

The iterated spherical average∆(A1)^(N)is an important operator in harmonic analysis,and has very important applications in approximation theory and probability theory,where∆is the Laplacian,A_(1)is the unit spherical average and(A1)^(N)is its iteration.In this paper,we mainly study the sufficient and necessary conditions for the boundedness of this operator in Besov-Lipschitz space,and prove the boundedness of the operator in triebel-lizorkin space.Moreover,we use above conclusions to improve the existing results of the boundedness of this operator in L^(p)space.

关键词： Iterated spherical average Besov-Lipschitz space triebel-lizorkin space L^(p)space

Herz-type triebel-lizorkin spaces, I

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2005年第3期21卷 643-654页

作者： Jing Shi XU Da Chun YANG Department of Mathematics Beijing Normal University Beijing 100875 P. R. China Department of Mathematics Hunan Normal University Changsha 410081 P. R. China

Let s ∈R,0〈β≤∞, 0〈 q, p〈 ∞ and-n/q〈α. In this paper the authors introduce the Herz-type triebel-lizorkin spaces,Kq^α,pFβ^s（R^n）andKq^α,pFβ^s（R^n）which are the generalizations of the well-known Herz-type spaces and the inhomogeneous triebel-lizorkin spaces, Some properties on these Herz-type triebel lizorkin spaces are also given.

关键词： Herz space triebel-lizorkin space Maximal function Embedding Multiplier Lifting property

Boundedness of oscillatory singular integral with rough kernels on triebel-lizorkin spaces

在线全文

学校读者我要写书评

暂无评论

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.

APPLICATIONS OF HERZ-TYPE triebel-lizorkin spaceS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2003年第3期23卷 328-338页

作者：徐景实杨大春 Department of Mathematics Beijing Normal UniversityBeijing 100875China Department of MathematicsHunan UniversityChangsha 410082China Department of Mathematics Beijing Normal UniversityBeijing 100875China

In this paper, the authors first establish the connections between the Herz-type triebel-lizorkin spaces and the well-known Herz-type spaces; the authors then study the pointwise multipliers for the Herz-type triebel-lizorkin spaces and show that pseudo-differential operators are bounded on these spaces by using pointwise multipliers.

关键词： Herz-type space triebel-lizorkin space pointwise multiplier pseudodifferential operator maximal operator

Commutators Generated by Multilinear Calderon-Zygmund Type Singular Integral and Lipschitz Functions

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2014年第4期30卷 903-912页

作者： Hui-xia MO Shan-zhen LU School of Science Beijing University of Posts and Telecommunications School of Mathematical Sciences Beijing Normal University

In this paper, we establish the boundedness of commutators generated by the multilinear Calderon- Zygmud type singular integrals and Lipschitz functions on the triebel-lizorkin space and Lipschitz spaces.

关键词： multilinear Calderon-Zygmud type singular integral commutator triebel-lizorkin space Lips-chitz space