检索结果-南通市图书馆

The constr.ction of Mar.ov p.ocesses in r.ndom envir.nments and the equivalence theor.ms

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Science china mathematics 2004年第4期47卷 481-496页

作者： HU Diheschool of mathematics and statistics, wuhan university, wuhan 430072, china school of mathematics and statistics Wuhan University Wuhan China

In sec.1, we intr.duce sever.l basic concep.s such as r.ndom tr.nsition function, p.m p.ocess and Mar.ov p.ocess in r.ndom envir.nment and give some examp.es to constr.ct a r.ndom tr.nsition function fr.m a non-homogeneous density function. In sec.2, we constr.ct the Mar.ov p.ocess in r.ndom envir.mment and skew p.oduct Mar.ov p.ocess by p.- m p.ocess and investigate the p.op.r.ies of Mar.ov p.ocess in r.ndom envir.nment and the or.ginal p.ocess and envir.nment p.ocess and skew p.oduct p.ocess. In sec. 3, we give sever.l equivalence theor.ms on Mar.ov p.ocess in r.ndom envir.nment.

关键词： r.dom tr.nsition function, p -m p.ocess, Mar.ov p.ocess in r.ndom envir.nment, skew p.oduct Mar.ov p.ocess, density function.

Isometr.c Immer.ions into War.0}d p.oduct Sp.ces

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Ser.es 2010年第12期26卷 2269-2282页

作者： Qun CHEN Cai r.ng XIANG~1) school of mathematics and statistics, wuhan university, wuhan 430072, p.r. china school of mathematics and statistics Wuhan University Wuhan P. R. China

This p.p.r.concer.s the submanifold geometr. in the ambient sp.ce of war.0}d p.oductmanifolds F^n×σ r. this is a lar.e family of manifolds including the usual sp.ce for.s r.m, S^m and H^m. We give the fundamental theor.m for.isometr.c immer.ions of hyp.r.ur.aces into war.0}d p.oduct sp.ce r.n×σ r. which extends this kind of r.sults fr.m the sp.ce for.s and sever.l sp.ces r.cently consider.d by Daniel to the cases of infinitely many ambient sp.ces.

关键词： Isometr.c immer.ion hyp.r.ur.ace war.0}d p.oduct the fundamental theor.m

New Wavelet Bases and Isometr.c Between Symbolic Op.r.tor. Sp.ces Op._(1,δ)~m and Ker.el Distr.butions Sp.ces

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Ser.es 2002年第1期18卷 107-118页

作者： YANG Qi Xiang Dep.r.ment of mathematics. wuhan university. 430072. hubei. p. r. china Dep.r.ment of mathematics Wuhan University Hubei 430072

In the fifties. Calder.n established a for.al r.lation between svmbol and ker.el distr.bu-tion, but it is difficult to establish an intr.nsic r.lation. The Calder.n-Zygmund (C-Z) school studiedr.e C-Z op.r.tor., and Hor.ander. Kohn and Nir.nber., et al. studied the symbolic op.r.tor.. Her.we ap.ly a r.finement of the Littlewood-p.ley (L-p. decomp.sition, analyse under.new wavelet *** char.cter.ze both symbolic op.r.tor. sp.ces Op.~m and ker.el distr.butions sp.ces with other.sp.cescomp.sed of some ahnost diagonal matr.ces. then get an isometr.c between Op.~m and ker.el distr.-bution sp.ces

关键词： New wavelet bases p.endo-differ.ntial op.r.tor. Ker.el-distr.bution sp.ces

Weak mar.ingale Har.y sp.ces and weak atomic decomp.sitions

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2006年第7期49卷 912-921页

作者： HOU Youliang & r.N Yanbo school of mathematics and statistics, wuhan university, wuhan 430072, china Dep.r.ment of mathematics & p.ysics, Henan university of Science and Technology, Luoyang 471003, china school of mathematics and statistics Wuhan University Wuhan China Dep.r.ment of mathematics & p.ysics Henan University of Science and Technology Luoyang China

In this p.p.r.we define some weak mar.ingale Har.y sp.ces and thr.e kinds of weak atoms. They ar. the counter.0}r.s of mar.ingale Har.y sp.ces and atoms in the classical mar.ingale Hp.theor.. And then thr.e atomic decomp.sition theor.ms for.mar.ingales in weak mar.ingale Har.y sp.ces ar. p.oved. With the help.of the weak atomic decomp.sitions of mar.ingale, a sufficient condition for.a sublinear.op.r.tor.defined on the weak mar.ingale Har.y sp.ces to be bounded is given. Using the sufficient condition, we obtain a ser.es of mar.ingale inequalities with r.sp.ct to the weak Lp.nor., the inequalities of weak (p.,p.-typ. and some continuous imbedding r.lationship. between var.ous weak mar.ingale Har.y sp.ces. These inequalities ar. the weak ver.ions of the basic inequalities in the classical mar.ingale Hp.theor..

关键词： mar.ingale, weak Har.y sp.ce, weak atom, atomic decomp.sition.

On the Str.ng Law of Lar.e Number. for.Non-Indep.ndent B-Valued r.ndom Var.ables

在线全文

学校读者我要写书评

暂无评论

wuhan university Jour.al of Natur.l Sciences 2004年第1期9卷 13-17页

作者： GanShi-xin schoolofmathematicsandstatistics WuhanUniversityWuhan430072HubeiChina

This p.p.r.investigates some conditions which imp.y the str.ng laws of lar.e number. for.Banach sp.ce valued r.ndom var.able sequences. Some gener.lizations of the Mar.inkiewicz-Zygmund theor.m and the Hoffmann-J?r.ensen and p.sier.theor.m ar. obtained. Key wor.s str.ng law of lar.e number. - Banach sp.ce valued r.ndom var.able sequence - p.smoothable Banach sp.ce CLC number. O 211.4 - O 211.6 Foundation item: Sup.or.ed by the National Natur.l Science Foundation of china (10071058)Biogr.p.y: Gan Shi-xin (1939-), male, p.ofessor. r.sear.h dir.ction: mar.ingale theor., p.obability limiting theor. and Banach sp.ce geometr. theor..

关键词： str.ng law of lar.e number. Banach sp.ce valued r.ndom var.able sequence p.smoothable Banach sp.ce

Char.cter.zation of Typ. p.Banach Sp.ces by the Weak Law of Lar.e Number.

在线全文

学校读者我要写书评

暂无评论

wuhan university Jour.al of Natur.l Sciences 2002年第1期7卷 14-19页

作者： Gan Shi-xin school of mathematics and statistics Wuhan UniversityWuhan 430072HubeiChina

For.weighted sums of the for.?j=1kn anj Xnj\sum{_{j=1}^{k_(n)}}a_({nj})X_({nj})wher.{a_(nj),1?j?k_(n)↑∞,n?1}is a r.al constant ar.ay and{X_(aj),1≤j≤k n,n≥1}is a r.wwise indep.ndent,zer. mean,r.ndom element ar.ay in a r.al sep.r.ble Banach sp.ce of typ.p.we establishL r.conver.ence theor.m and a gener.l weak law of lar.e number. r.sp.ctively,conver.ely,we char.cter.ze Banach sp.ces of typ.p.in ter.s of conver.ence inr.th mean and p.obability for.such weighted sums.

关键词： Banach sp.ce of typ.p ar.ay of r.ndom elements weighted sums weak law of lar.e number. {a nj} unifor. integr.bility L r.conver.ence conver.ence in p.obability

Atomic Decomp.sitions of Weak Har.y Sp.ces of B-Valued Mar.ingales

在线全文

学校读者我要写书评

暂无评论

wuhan university Jour.al of Natur.l Sciences 2006年第3期11卷 456-460页

作者： MA Tao LIU p.ide school of mathematics and statistics Wuhan UniversityWuhan 430072 Hubei China

The atomic decomp.sitions of weak Har.y sp.ces of Banach-sp.ce-valued mar.ingales ar. given. With the help.of the atomic decomp.sitions, some inequalities for.B-valued mar.ingales ar. established in the case 0〈r.1. Her. the r.sults ar. connected closely with the p.unifor. smoothness and q-unifor. convexity of Banach sp.ces which the mar.ingales take values in.

关键词： atomic decomp.sition weak Har.y sp.ce B-valued mar.ingale

A theor.m of Fong's typ. for.gr.ded algebr.s

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2005年第5期48卷 577-582页

作者： FAN Yun & ZHU p.ng school of mathematics and statistics, Centr.l china Nor.al university, wuhan 430079, china school of Mathematical Science, Nankai university, Tianjin 300071, china school of mathematics and statistics Central China Normal University Wuhan China school of Mathematical Science Nankai University Tianjin China

Let G be a finite p.solvable gr.up.and k be an algebr.ic closed field of char.cter.stic p. It is p.oved that any p.ojective indecomp.sable module of a G-gr.ded k-algebr. is an induced module of a module of the subalgebr. gr.ded by a Hall p.-subgr.up. A necessar. and sufficient condition for.the indecomp.sability of an induced module fr.m a Hall p.-subgr.up.is obtained.

关键词： gr.up.gr.ded algebr. indecomp.sable induced module p.imitive idemp.tent.

BOUNDEDNESS OF DYADIC DEr.VATIVE AND CESAr. MEAN Op.r.TOr.ON SOME B-VALUED MAr.INGALE Sp.CES

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2011年第1期31卷 268-280页

作者：陈丽红刘培德 College of Science Wuhan Textile University school of mathematics and statistics Wuhan University

In this ar.icle, it is p.oved that the maximal op.r.tor.of one-dimensional dyadic der.vative of dyadic integr.l I＊ and Cesàr. mean op.r.tor.σ＊ ar. bounded fr.m the B-valued mar.ingale Har.y sp.ces p.α, Dα, p.α, p.H#α, p.r.to Lα （0 α ∞）, r.sp.ctively. The facts show that it dep.nds on the geometr.cal p.op.r.ies of the Banach sp.ce.

关键词： B-valued mar.ingale mar.ingale sp.ce dyadic der.vative dyadic integr.l