云南高校图书馆联盟文献共享服务平台- HEISENBERG

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>>

JERISON-LEE IDENTITIES AND SEMI-LINEAR SUBELLIPTIC EQUATIONS ON HEISENBERG GROUP: 《Acta Mathematica Scientia》2025年第1期264-279,共16页Xinan MA Qianzhong OU Tian WU; supported by the National Natural Science Foundation of China(12141105,12471194);the first author’s research also was supported by the National Key Research and Development Project(SQ2020YFA070080).; In the study of the extremal for Sobolev inequality on the Heisenberg group and the Cauchy-Riemann(CR)Yamabe problem,Jerison-Lee found a three-dimensional family of differential identities for critical exponent subell...; 关键词：Cauchy-Riemann Yamabe problem subelliptic equations Jerison-Lee identities

PARTIAL SCHAUDER ESTIMATES FOR A SUB-ELLIPTIC EQUATION被引量：1: 《Acta Mathematica Scientia》2016年第3期945-956,共12页魏娜蒋永生吴永洪; supported by the NSFC(11201486,11326153);supported by"the Fundamental Research Funds for the Central Universities(31541411213)"; In this paper, we establish the partial Schauder estimates for the Kohn Laplace equation in the Heisenberg group based on the mean value theorem, the Taylor formula and a priori estimates for the derivatives of the Ne...; 关键词：partial Schauder estimates Kohn Laplace equation Heisenberg group

TOEPLITZ OPERATORS ON HEISENBERG GROUP: 《Acta Mathematica Scientia》2013年第6期1589-1597,共9页谢佩珠曹广福; Supported by National Natural Science Foundation of China(11271092);Natural Science Foundation of Guangdong Province(s2011010005367);Specialized Research Fund for the Doctoral Program of Higher Education(20114410110001,20124410120002);SRF of Guangzhou Education Bureau(2012A088); Denote by Ω the Siegel domain in Cn, n 〉 1. In this paper, we study the essential spectra of Toeplitz operators defined on the Hardy space H2（а↓Ω）. In addition, the characteristic equation of analytic Toeplitz ...; 关键词：Toeplitz operator Hardy space Fredholm theory

ON CRITICAL CASES OF SOBOLEV'S INEQUALITIES FOR HEISENBERG GROUPS被引量：1: 《Acta Mathematica Scientia》2012年第4期1584-1592,共9页杨乔华; supported by the Fundamental Research Funds for the Central Universities (1082001);National Science Foundation of China (11101096); We prove some Trudinger-type inequalities and Brezis-Gallouet-Wainger inequality on the Heisenberg group, extending to this context the Euclidean results by T. Ozawa.; 关键词：Sobolev＇s inequality Brezis-Gallouet-Wainger inequality Heisenberg group

L^p BOUNDEDNESS OF COMMUTATOR OPERATOR ASSOCIATED WITH SCHRDINGER OPERATORS ON HEISENBERG GROUP被引量：3: 《Acta Mathematica Scientia》2012年第2期568-578,共11页李澎涛彭立中; supported by NSFC 11171203, S2011040004131;STU Scientific Research Foundation for Talents TNF 10026;supported by NSFC No.10990012,10926179;RFDP of China No.200800010009; Let L = -△Hn ＋ V be a SchrSdinger operator on Heisenberg group Hn, where AHn is the sublaplacian and the nonnegative potential V belongs to the reverse HSlder class BQ/2 where Q is the homogeneous dimension of Hn. L...; 关键词：COMMUTATOR BMO Heisenberg group BOUNDEDNESS Riesz transforms as-sociated to SchrSdinger operators

ENDPOINT ESTIMATES FOR FRACTIONAL INTEGRAL ASSOCIATED TO SCHRDINGER OPERATORS ON THE HEISENBERG GROUPS被引量：2: 《Acta Mathematica Scientia》2011年第3期993-1000,共8页江寅生; Supported by NSF of China(10861010); Let ∠= -△Hn＋ V be the Schrdinger operator on the Heisenberg groups Hn,where V is a nonnegative function satisfying the reverse Hlder inequality. In this article, the author obtains the BMO_∠ and BLO_∠ estimates o...; 关键词：Schrdinger operator Heisenberg group BMO_∠ BLO_∠ fractional integral

INEQUALITIES OF EIGENVALUES FOR BI-KOHN LAPLACIAN ON HEISENBERG GROUP被引量：12: 《Acta Mathematica Scientia》2010年第1期125-131,共7页黄广月陈文艺; supported by NSFC (10471108,10631020); In this article, we consider the eigenvalue problem for the bi-Kohn Laplacian and obtain universal bounds on the （k ＋ 1）-th eigenvalue in terms of the first k eigenvalues independent of the domains.; 关键词：EIGENVALUE universal bounds bi-Kohn Laplacian

MULTIRESOLUTION ANALYSIS, SELF-SIMILAR TILINGS AND HAAR WAVELETS ON THE HEISENBERG GROUP被引量：2: 《Acta Mathematica Scientia》2009年第5期1251-1266,共16页刘和平刘宇王海辉; Sponsored by the NSFC (10871003, 10701008, 10726064);the Specialized Research Fund for the Doctoral Program of Higher Education of China (2007001040); In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenberg group are studied. Moreover, we establish a theory to construct an orthonormal Haar wavelet base in L^2（H^d） by ...; 关键词：Heisenberg group multiresolution analysis WAVELETS self-similar tilings

SEMILINEAR DEGENERATE HEAT INEQUALITIES WITH SINGULAR POTENTIAL ON THE HEISENBERG GROUP: 《Acta Mathematica Scientia》2009年第2期349-359,共11页原子霞钮鹏程; supported by National Natural Science Foundation of China(10371099);Natural Science Basic Research Plan in Shaanxi Province of China (2006A09); This article deals with the global existence and nonexistence of solutions to the degenerate heat inequalities with singular potential on the Heisenberg group. To prove the existence results, the authors adjust the me...; 关键词：Heisenberg group degenerate heat inequality potential existence NONEXISTENCE

THE UNIFORMLY BOUNDEDNESS OF THE RIESZ TRANSFORMS ON THE CAYLEY HEISENBERG GROUPS被引量：2: 《Acta Mathematica Scientia》2008年第4期895-914,共20页栾静闻朱赋鎏; the National Nature Science Foundation of China(10261002); In this article,the authors estimate some functions by using the explicit expression of the heat kernels for the Cayley Heisenberg groups,and then prove the uniform boundedness of the Riesz transforms on these nilpote...; 关键词：Cayley Heisenberg group heat kernel Riesz transform

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