摘要:

AbstractBuilding on the method of Kantorovich majorants, we give convergence results and error estimates for the two‐step Newton method for the approximate solution of a nonlinear operator equatio

ISSN:0025-584X    

DOI:10.1002/mana.19951720102

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractUsing Fourier transformation, the generating elements of HilbertC*‐systems are calculated. Their matrix elements coincide essentially with the coefficients of their multiplication schem

ISSN:0025-584X    

DOI:10.1002/mana.19951720103

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.19951720104

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractThe existence and uniqueness of solutions of the nonclassical boundary‐contact problems (i.e., problems with a contact on some part of the boundaries) of elasticity for homogeneous anisotropic media are investigated in Besov and Bessel potential spaces using methods of potential theory and the theory of pseudodifferential equations on manifolds with boundary. The smoothness of the solutions obtained is studie

ISSN:0025-584X    

DOI:10.1002/mana.19951720105

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractWe study the maximal function Mf(x) = sup |f(x+y, t)|when Ω is a region in the (y,t) Ω upper half space R N+1+andf(x, t) is the harmonic extension to R+N+1of a distribution in the Besov space Bαp,q(RN) or in the Triebel‐Lizorkin space Fαp,q(RN). In particular, we prove that when Ω= {|y|N/(N‐αp)

ISSN:0025-584X    

DOI:10.1002/mana.19951720106

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractFor thek×k‐matrix‐valued version of Hill's equation it is shown that the dimension of the matrix needed to compute the Floquet exponents can be reduced from2ktok. Also the existence of periodic solutions is equivalent to the non‐invertibility of certaink×k

ISSN:0025-584X    

DOI:10.1002/mana.19951720107

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractLetH(B,α) be the JBW*‐algebra of elements of a continuous W*‐algebraBinvariant under the*‐anti‐automorphism α ofBof order two. Then the mappingI→I∩H(B, α) is an order isomorphism from the complete lattice of α‐invariant weak*closed inner ideals inBonto the complete lattice of weak*closed inner ideals inH(B, α), every one of which is of the formeH(B, α) α(e) for some unique projectioneinBwith α‐invariant central support. A corollary of this result completely characterizes the weak*closed inner ideals in any

ISSN:0025-584X    

DOI:10.1002/mana.19951720108

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.19951720109

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractWeighted norm inequalities are investigated by giving an extension of the Riesz convexity theorem to semi‐linear operators on monotone functions. Several properties of the classesB(p, n) andC(p, n) introduced byNeugebauerin [13] are given. In particular, we characterize the weight pairsw, vfor which\documentclass{article}\pagestyle{empty}\begin{document}$ \int\limits_0^\infty {f(x)^p w(x)dx \le C \int\limits_0^\infty {({\textstyle{1 \over x}}\int\limits_0^x f)^p } v(x) dx,} $\end{document}for nondecreasing functionsfand 1 ≦

ISSN:0025-584X    

DOI:10.1002/mana.19951720110

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY

摘要:

AbstractWe study the Langevin algorithm onC∞n‐dimensional compact connected Riemannian manifolds and on IRn, allowing the energy functionUto vary with time. We find conditions under which the distribution of the process at hand becomes indistinguishable ast→ ∞ from the “instantaneous” equilibrium distribution. Such conditions do not necessarily imply thatU(t) converges point

ISSN:0025-584X    

DOI:10.1002/mana.19951720111

出版商:WILEY‐VCH Verlag    

年代:1995

数据来源: WILEY