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HEISENBERG_GROUP: 作品数：77被引量：88H指数：5; 导出分析报告; 相关作者：田龙王海蒙更多>>; 相关机构：浙江大学南京理工大学南京林业大学更多>>; 相关期刊：《Journal of Partial Differential Equations》《Progress in Natural Science:Materials International》《Analysis in Theory and Applications》《Frontiers of Mathematics in China》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重点基础研究发展计划中国博士后科学基金更多>>

An Explicit Formula for Szeg? Kernels on the Heisenberg Group: 《Acta Mathematica Sinica,English Series》2018年第8期1225-1247,共23页Hendrik HERRMANN Chin Yu HSIAO Xiao Shan LI; partially supported by the CRC TRR 191:“Symplectic Structures in Geometry,Algebra and Dynamics”;partially supported by Taiwan Ministry of Science of Technology project(Grant No.104-2628-M-001-003-MY2);the Golden-Jade fellowship of Kenda Foundation;supported by National Natural Science Foundation of China(Grant No.11501422); In this paper, we give an explicit formula for the Szego kernel for （0, q） forms on the Heisenberg group Hn＋1.; 关键词：Heisenberg group Szego kernels complex Fourier integral operators

Hausdorff Operators on the Heisenberg Group被引量：3: 《Acta Mathematica Sinica,English Series》2015年第11期1703-1714,共12页Jiu Hua GUO Li Jing SUN Fa You ZHAO; Supported by National Natural Science Foundation of China(Grant No.11201287);China Scholarship Council(Grant No.201406895019); This paper is devoted to the high-dimensional and multilinear Hausdorff operators on the Heisenberg group Hn. The sharp bounds for the strong type （p,p）（1 〈 p 〈 ∞） estimates of n- dimensional Hausdorff operato...; 关键词：Hausdorff operator Heisenberg group MULTILINEAR sharp estimate

Wavelet Transform and Radon Transform on the Quaternion Heisenberg Group被引量：5: 《Acta Mathematica Sinica,English Series》2014年第4期619-636,共18页Jian Xun HE He Ping LIU; supported by National Natural Science Foundation of China(Grant Nos.10971039 and 11271091);the second author is supported by National Natural Science Foundation of China(Grant No.10990012);the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.2012000110059); Let be the quaternion Heisenberg group, and let P be the affine automorphism group of . We develop the theory of continuous wavelet transform on the quaternion Heisenberg group via the unitary representations of P on...; 关键词：Quaternion Heisenberg group wavelet transform Radon transform inverse Radon transform

On First Order Interpolation Inequalities with Weights on the Heisenberg Group: 《Acta Mathematica Sinica,English Series》2011年第12期2493-2506,共14页Ya Zhou HAN Peng Cheng NIU Shu Tao ZHANG; Supported by Zhejiang Provincial Natural Science Foundation of China （Grant No. Y6110118）, National Natural Science Foundation of China （Grant No. 10871157） and Specialized Research Fund for the Doctoral Program of Higher Education （Grant No. 200806990032）; In this paper, sufficient and necessary conditions for the first order interpolation inequalities with weights on the Heisenberg group are given. The necessity is discussed by polar coordinates changes of the Heisenbe...; 关键词：Interpolation inequality Hardy-Sobolev type inequality Hardy type inequality Heisenberg group

Constant Angle Surfaces in the Heisenberg Group被引量：2: 《Acta Mathematica Sinica,English Series》2011年第4期747-756,共10页Johan FASTENAKELS Marian Ioan MUNTEANU Joeri VAN DER VEKEN; In this article we extend the notion of constant angle surfaces in S2 × R and H2 ×R to general Bianchi-Cartan-Vranceanu spaces. We show that these surfaces have constant Gaussian curvature and we give a complete loc...; 关键词：Heisenberg group Bianchi-Cartan Vranceanu space constant angle surface

Global Poincaré Inequalities on the Heisenberg Group and Applications被引量：1: 《Acta Mathematica Sinica,English Series》2007年第4期735-744,共10页Yu Xin DONG Guo Zhen LU Li Jing SUN; The first author is supported by Zhongdian grant of NSFC;a global grant at Wayne State University and by NSF of USA; Let f be in the localized nonisotropic Sobolev space Wloc^1,p （H^n） on the n-dimensional Heisenberg group H^n = C^n ×R, where 1≤ p ≤ Q and Q = 2n ＋ 2 is the homogeneous dimension of H^n. Suppose that the subelli...; 关键词：Heisenberg group Sobolev inequalities Poincaré inequalities best constants

A Weierstrass Representation Formula for Minimal Surfaces in H_3 and H^2×R被引量：2: 《Acta Mathematica Sinica,English Series》2006年第6期1603-1612,共10页Francesco MERCURI StefanoMONTALDO PaolaPIU; Work partially supported by RAS,INdAM,FAPESP and CNPq; We give a general setting for constructing a Weierstrass representation formula for simply connected minimal surfaces in a Riemannian manifold. Then, we construct examples of minimal surfaces in the three dimensional ...; 关键词：Minimal immersions Weierstrass representation Heisenberg group Hyperbolic space

The Compactness of Commutators on the Heisenberg Group: 《Acta Mathematica Sinica,English Series》2006年第2期425-430,共6页He Ping LIU Xuan Yuan ZHENG; Supported by the National Natural Science Foundation of China (No.10371004); the Specialized Research Fund for the Doctoral Program Higher Education of China (No. 20030001107); We consider the commutators of the HSrmander multiplier with CMO-functions on the Heisenberg group. The result of compactness on L^P spaces is proved.; 关键词：Heisenberg group MULTIPLIER COMMUTATOR CMO COMPACTNESS

Littlewood Paley g-function on the Heisenberg Group被引量：6: 《Acta Mathematica Sinica,English Series》2006年第1期95-100,共6页He Ping LIU Rui Qin MA; Supported by the National Natural Science Foundation of China （No. 10371004） and the Specialized Research Fund for the Doctoral Program Higher Education of China （No. 20030001107）; We consider the g-function related to a class of radial functions which gives a characterization of the L^p-norm of a function on the Heisenberg group.; 关键词：Heisenberg group G-FUNCTION

Asymptotics for Certain Harmonic Functions and the Martin Compactification on the Quaternionic Heisenberg Group被引量：4: 《Acta Mathematica Sinica,English Series》2005年第6期1295-1308,共14页Jing Wen LUAN Fu Liu ZHU; the National Natural Science Foundation of China Grant 10261002; In this paper, we make the asymptotic estimates of the heat kernel for the quaternionic Heisenberg group in various cases. We also use these results to deduce the asymptotic estimates of certain harmonic functions on ...; 关键词：Quaternionic Heisenberg group Asymptotic estimate Heat kernel Martin boundary

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