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71.
David E. Edmunds Bohumí r Opic 《Proceedings of the American Mathematical Society》2003,131(3):745-754
We give new characterizations of Lorentz spaces by means of certain quasi-norms which are shown to be equivalent to the classical ones.
72.
Björn Gustafsson Mihai Putinar 《Journal of Mathematical Analysis and Applications》2007,328(2):995-1006
The analytic continuation of the exponential transform of a domain in Rn is proved under some global geometric assumptions on the boundary. Two approximation schemes of the continued transform (one based on a Taylor series truncation, the other on a global eigenfunction expansion) are also discussed. 相似文献
73.
Stanisław Wroński 《Mathematica Slovaca》2007,57(4):359-368
In [ANISZCZYK, B.-FRANKIEWICZ, R.: Non homeomorphic density topologies, Bull. Polish Acad. Sci. Math. 34 (1986), 211–213] the authors constructed 2c non-homeomorphic density topologies tied to the concept of measure. In [WROŃSKI, S.: The number of non-homeomorphic I-density topologies. Institute of Mathematics of Polish Academy of Sciences. Preprint 482, December 1990, XXXIV Semester in Banach Center, Theory
of Real Functions] an analogous construction has been given for topologies tied to the concept of category. Here we present
a generalization containing both the results mentioned above. This generalization based only on the topological ideas is independent
of the concept of measure or category.
Communicated by L’ubica Holá 相似文献
74.
Liu Yongping 《数学年刊B辑(英文版)》1995,16(3):351-360
AVERAGE σ-K WIDTH OF CLASS OF L_p(R~n)IN L_q(R~n)AVERAGEσ-KWIDTHOFCLASSOFL_p(R~n)INL_q(R~n)¥LIUYONGPINGAbstract:Theaverageσ-Kwidt... 相似文献
75.
马国燕 《新疆大学学报(理工版)》2006,23(3):281-283
G是一个简单图,变换图G---是G的全图的补图.证明了对于给定的一个图G,G K1 K2,G---有一个完美匹配的充要条件是V(G) E(G)是偶数. 相似文献
76.
Hongmei Zhang Fawang Liu 《高等学校计算数学学报(英文版)》2007,16(2):181-192
In this paper, the space-time Riesz fractional partial differential equations with periodic conditions are considered. The equations are obtained from the integral partial differential equation by replacing the time derivative with a Caputo fractional derivative and the space derivative with Riesz potential. The fundamental solutions of the space Riesz fractional partial differential equation (SRFPDE) and the space-time Riesz fractional partial differential equation (STRFPDE) are discussed, respectively. Using methods of Fourier series expansion and Laplace transform, we derive the explicit expressions of the fundamental solutions for the SRFPDE and the STRFPDE, respectively. 相似文献
77.
ON THE EXISTENCE OF ZERO POINTS OF A CONTINUOUS FUNCTION 总被引:3,自引:1,他引:2
J.M. SorianoDepartamento de Andlisis Matematico Facultad de Matemdticas Universidad de Sevilla Aptdo. Sevilla Spain 《数学物理学报(B辑英文版)》2002,22(2)
IPreliminarlesTheee。etOOk totot比OO。stsllCCdCSdO‘lOll‘。山OOqll时1OO/(。)=。,SS山 SFSSdPoint Theorems[‘’,”],Degree Theory【9,15].In general these are used when f aPPlies a set ora space on itself.Cm眈inn眈ion Methods can be used to test the existence ofa solution whenf pplies a set or a sp。e on it咖‘-’,”-“l,or aPPlies a set or sP。m another sP。,s。M see here.wrthermore,contlnuulon methods pve us the exlstence ofcurves wb讪 can beused to CalCttlue the Sdutionsl6… 相似文献
78.
设n,k为自然数,G(n)阶群中的同构类数,Fk(x)与Qk(x)分别表示不超过x的自然数中使G(n)=k的自然数、无平方因子自然数的个数.本文的目的是用Brun筛法证明Qk(x)的条件渐近公式并对Fk(x)的渐近性质做出了推测. 相似文献
79.
We use versions of Bismut type derivative formulas obtained by Driver and Thalmaier [9], to prove derivative estimates for various heat semigroups on Riemannian vector bundles. As an application, the weak (1,1) property for a class of Riesz transforms on a vector bundle is established. Some concrete examples of vector bundles (e.g., differential forms) are considered to illustrate the results. 相似文献
80.
A. V. Balakrishnan 《Applied Mathematics and Optimization》1995,31(2):177-187
In this paper we generalize the Kalman-Yakubovic lemma to infinite dimensions—or, more precisely, to semigroups of operators over a Hilbert space. The proof differs substantially from the finite-dimensional version and is based on the Paley-Wiener-Helson-Lowdenslager factorization theorem. 相似文献