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IMPROVED GAGLIARDO-NIRENBERG INEQUALITIES ON HEISENBERG TYPE GROUPS 被引量:1
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作者 罗光洲 《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1583-1590,共8页
Motivated by the idea of M. Ledoux who brings out the connection between Sobolev embeddings and heat kernel bounds, we prove an analogous result for Kohn’s sub-Laplacian on the Heisenberg type groups. The main result... Motivated by the idea of M. Ledoux who brings out the connection between Sobolev embeddings and heat kernel bounds, we prove an analogous result for Kohn’s sub-Laplacian on the Heisenberg type groups. The main result includes features of an inequality of either Sobolev or Galiardo-Nirenberg type. 展开更多
关键词 Heisenberg type group heat kernel Sobolev inequality Galiardo-Nirenberg inequality
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Blood group type antigens in pancreatic intraductal papillary mucinous neoplasms 被引量:1
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作者 Adriana Handra-Luca 《Hepatobiliary & Pancreatic Diseases International》 SCIE CAS 2014年第1期74-80,共7页
BACKGROUND: There are few data on blood group(BG) types and types of pancreatic cancers. The aims of this study were to study BG types and BG-antigens in pancreatic intraductal papillary mucinous neoplasms(IPMNs). MET... BACKGROUND: There are few data on blood group(BG) types and types of pancreatic cancers. The aims of this study were to study BG types and BG-antigens in pancreatic intraductal papillary mucinous neoplasms(IPMNs). METHODS: BG type and tumor BG-antigen(glycoprotein) expression(studied by immunohistochemistry on tissue microarrays) were analyzed with regard to characteristics of 101 surgically resected pancreatic IPMNs. RESULTS: Non-O BG type predicted invasive carcinoma independently from high serum CA19-9 and male gender. BG type A was observed more frequently in women than in men. Chronic pancreatitis was more frequently seen in patients with BG type B or AB. Aberrant tumor expression(with regard to BG type) of loss of A antigen expression type occurred in 15.0% of IPMNs and of loss of B antigen expression type in 62.5% of IPMNs. Intraneoplasm BG-antigen expression was not related to dysplasia grade or invasion. CONCLUSION: The results of the study suggest that in pancreatic IPMN, non-O BG type predicted invasive carcinoma, whereas for intratumor BG-antigen expression no specific patterns were detected with regard to the progression of glandular epithelial dysplasia or invasion. 展开更多
关键词 blood group type blood group antigen IMMUNOHISTOCHEMISTRY CA19-9 PROGNOSIS invasive carcinoma PANCREAS intraductal papillary mucinous neoplasm
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The Features of Sedimentary Facies and Copper Enrichment Metallogenic Regularities of Kuzigongsu Group in Sareke Glutenite Type Copper Deposits,Wuqia,Xinjiang 被引量:4
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作者 WANG Lei FANG Weixuan +3 位作者 JIA Runxing LU Jia YE Lei 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2017年第S1期195-196,共2页
1 Introduction Sareke glutenite-type copper deposit is the large size copper deposit discovered in recent years,and it is located Sarekebayi intracontinental pull-apart basin in the western margin of the Tarim basin.C... 1 Introduction Sareke glutenite-type copper deposit is the large size copper deposit discovered in recent years,and it is located Sarekebayi intracontinental pull-apart basin in the western margin of the Tarim basin.Conglomerate of 展开更多
关键词 The Features of Sedimentary Facies and Copper Enrichment Metallogenic Regularities of Kuzigongsu Group in Sareke Glutenite type Copper Deposits Wuqia XINJIANG
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Bounding Topology via Geometry,A-Simple Fundamental Groups
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作者 Xiaochun Rong Xuchao Yao 《Communications in Mathematical Research》 CSCD 2020年第4期489-505,共17页
We call a group A-simple,if it has no non-trivial normal abelian subgroup.We will present finiteness results in controlled topology via geometry on manifolds whose fundamental groups are A-simple.
关键词 A-simple fundamental group collapsing with bounded sectional curvature finiteness of fundamental groups and diffeomorphic types.
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Best Constants for Moser-Trudinger Inequalities,Fundamental Solutions and One-Parameter Representation Formulas on Groups of Heisenberg Type 被引量:8
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作者 COHN William S. 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2002年第2期375-390,共16页
We derive the explicit fundamental solutions for a class of degenerate(or singular)one- parameter subelliptic differential operators on groups of Heisenberg(H)type.This extends the result of Kaplan for the sub-Laplaci... We derive the explicit fundamental solutions for a class of degenerate(or singular)one- parameter subelliptic differential operators on groups of Heisenberg(H)type.This extends the result of Kaplan for the sub-Laplacian on H-type groups,which in turn generalizes Folland's result on the Heisenberg group.As an application,we obtain a one-parameter representation formula for Sobolev functions of compact support on H-type groups.By choosing the parameter equal to the homogeneous dimension Q and using the Mose-Trudinger inequality for the convolutional type operator on stratified groups obtained in[18].we get the following theorem which gives the best constant for the Moser- Trudiuger inequality for Sobolev functions on H-type groups. Let G be any group of Heisenberg type whose Lie algebra is generated by m left invariant vector fields and with a q-dimensional center.Let Q=m+2q.Q'=Q-1/Q and Then. with A_Q as the sharp constant,where ▽G denotes the subelliptic gradient on G. This continues the research originated in our earlier study of the best constants in Moser-Trudinger inequalities and fundamental solutions for one-parameter subelliptic operators on the Heisenberg group [18]. 展开更多
关键词 Heisenberg group Groups of Heisenberg type Sobolev inequalities Moser-Trudinger inequalities Best constants One-Parameter representation formulas Fundamental solutions
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On the centers of quantum groups of A_n-type 被引量:2
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作者 Libin Li Limeng Xia Yinhuo Zhang 《Science China Mathematics》 SCIE CSCD 2018年第2期287-294,共8页
Let g be the finite dimensional simple Lie algebra of type A_n, and let U = U_q(g,Λ)and U= U_q(g,Q)be the quantum groups defined over the weight lattice and over the root lattice, respectively. In this paper, we find... Let g be the finite dimensional simple Lie algebra of type A_n, and let U = U_q(g,Λ)and U= U_q(g,Q)be the quantum groups defined over the weight lattice and over the root lattice, respectively. In this paper, we find two algebraically independent central elements in U for all n ≥ 2 and give an explicit formula of the Casimir elements for the quantum group U = U_q(g,Λ), which corresponds to the Casimir element of the enveloping algebra U(g). Moreover, for n = 2 we give explicitly generators of the center subalgebras of the quantum groups U = U_q(g,Λ) and U = U_q(g,Q). 展开更多
关键词 center quantum group type An Casimir element
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A CARLEMAN ESTIMATE ON GROUPS OF HEISENBERG TYPE
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作者 Han Junqiang Niu Pengcheng 《Journal of Partial Differential Equations》 2006年第4期341-358,共18页
A Pohozaev-Rellich type identity for the p-sub-Laplacian on groups of Heisenberg type, G, is given. A Carleman estimate for the sub-Laplacian on G is established and, as a consequence, a unique continuation result is ... A Pohozaev-Rellich type identity for the p-sub-Laplacian on groups of Heisenberg type, G, is given. A Carleman estimate for the sub-Laplacian on G is established and, as a consequence, a unique continuation result is proved. 展开更多
关键词 Pohozaev-Rellich type identity Carleman estimate unique continuation SUB-LAPLACIAN group of Heisenberg type.
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The Projective Cover of the Trivial Representation for a Finite Group of Lie Type in Defining Characteristic
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作者 Shigeo Koshitani Jürgen Müller 《Algebra Colloquium》 SCIE CSCD 2017年第3期439-452,共14页
We give a lower bound of the Loewy length of the projective cover of the trivial module for the group algebra kG of a finite group G of Lie type defined over a finite field of odd characteristic p, where k is an arbit... We give a lower bound of the Loewy length of the projective cover of the trivial module for the group algebra kG of a finite group G of Lie type defined over a finite field of odd characteristic p, where k is an arbitrary field of characteristic p. The proof uses Auslander-Reiten theory. 展开更多
关键词 modular representations projective cover of trivial module finite groups ofLie type in defining characteristic
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SOME LIOUVILLE TYPE THEOREMS FOR THE P-SUB-LAPLACIAN ON THE GROUP OF HEISENBERG TYPE
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作者 Yuan Zixia Niu Pengcheng 《Journal of Partial Differential Equations》 2008年第3期193-207,共15页
In this paper we prove some Liouville type results for the p-sub-Laplacian on the group of Heisenberg type. A strong maximum principle and a Hopf type principle concerning p-sub-Laplacian are established.
关键词 p-sub-Laplacian Liouville type theorems group of Heisenberg type Strong maximum principle.
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DEGENERATE EVOLUTION INEQUALITIES ON GROUPS OF HEISENBERG TYPE
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作者 Han Junqiang 《Journal of Partial Differential Equations》 2005年第4期341-354,共14页
In this paper the nonexistence for weak solutions of some degenerate evolution inequalities on groups of Heisenberg type is studied.
关键词 NONEXISTENCE degenerate evolution inequalities groups of Heisen berg type.
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Factorizations of Finite Groups and Related Topics
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作者 Lev Kazarin 《Algebra Colloquium》 SCIE CSCD 2020年第1期149-180,共32页
This is a survey on the recent progress in the theory of finite groups with factorizations and around it,done by the author and his coauthors,and this has no pretensions to cover all topics in this wide area of resear... This is a survey on the recent progress in the theory of finite groups with factorizations and around it,done by the author and his coauthors,and this has no pretensions to cover all topics in this wide area of research.In particular,we only touch the great consequences of the fundamental paper of Liebeck,Praeger and Saxl on maximal factorizations of almost simple finite groups for the theory of groups with factorizations.In each case the reader can find additional references at the end of Section 1.Some of the methods of investigation can be used to obtain information about finite groups in general,nilpotent algebras and related nearrings. 展开更多
关键词 finite groups products of groups conjugacy classes Sylow subgroups Lie type groups FACTORIZATIONS
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Perturbation of Yamabe Equation on Iwasawa N Groups in Presence of Symmetry
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作者 Qiao Hua YANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第8期1575-1590,共16页
Let G be a simple Lie group of real rank one and N be in the Iwasawa decomposition of G. Under the assumption of some symmetries, we obtain an existent result for the nonlinear equation △NU + (1 + ∈K(x, z))u2... Let G be a simple Lie group of real rank one and N be in the Iwasawa decomposition of G. Under the assumption of some symmetries, we obtain an existent result for the nonlinear equation △NU + (1 + ∈K(x, z))u2*-1 = 0 on N, which generalizes the result of Malchiodi and Uguzzoni to the Kohn's subelliptic context on N in presence of symmetry. 展开更多
关键词 Heisenberg type groups Yamabe equations simple Lie group of real rank one
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