共查询到20条相似文献,搜索用时 0 毫秒
1.
S. H. Dalalyan 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2011,46(1):48-55
Contravariant Galois adjunctions and two associated antiequivalences are constructed. By means of completion semimonadic functors, the analogs of Grothendieck’s extension of the Galois theory fundamental theorem are obtained in abstract categories. 相似文献
2.
Bo Berndtsson 《中国科学A辑(英文版)》2005,48(Z1)
We construct a semiexplicit integral representation of the canonical solution to the (?)-equation with respect to a plurisubharmonic weight function in a pseudoconvex domain. The construction is based on a construction related to the Ohsawa-Takegoshi extension theorem combined with a method to construct weighted integral representations due to M. Andersson. 相似文献
3.
4.
F. Ferro 《Journal of Optimization Theory and Applications》1993,79(1):127-138
We deal with the problem of scalarization in vector optimization. A very general form of the Arrow-Barankin-Blackwell theorem is proved in normed spaces. We study the question also in the spacel
of all bounded sequences of real numbers, which is of particular interest in economic problems, and generalize many of the existing results on this subject. 相似文献
5.
A celebrated result of Morse and Hedlund, stated in 1938, asserts that a sequence x over a finite alphabet is ultimately periodic if and only if, for some n, the number of different factors of length n appearing in x is less than n+1. Attempts to extend this fundamental result, for example, to higher dimensions, have been considered during the last fifteen years. Let d≥2. A legitimate extension to a multidimensional setting of the notion of periodicity is to consider sets of Zd definable by a first order formula in the Presburger arithmetic 〈Z;<,+〉. With this latter notion and using a powerful criterion due to Muchnik, we exhibit a complete extension of the Morse–Hedlund theorem to an arbitrary dimension d and characterize sets of Zd definable in 〈Z;<,+〉 in terms of some functions counting recurrent blocks, that is, blocks occurring infinitely often. 相似文献
6.
Using the theory of intertwining operators for vertex operator algebras we show that the graded dimensions of the principal
subspaces associated to the standard modules for
satisfy certain classical recursion formulas of Rogers and Selberg. These recursions were exploited by Andrews in connection
with Gordon’s generalization of the Rogers–Ramanujan identities and with Andrews’ related identities. The present work generalizes
the authors’ previous work on intertwining operators and the Rogers–Ramanujan recursion.
2000 Mathematics Subject Classification Primary—17B69, 39A13
S. Capparelli gratefully acknowledges partial support from MIUR (Ministero dell’Istruzione, dell’Università e della Ricerca).
J. Lepowsky and A. Milas gratefully acknowledge partial support from NSF grant DMS-0070800. 相似文献
7.
Alexander Fel’shtyn 《Journal of Fixed Point Theory and Applications》2008,3(2):191-214
The purpose of this mostly expository paper is to discuss a connection between Nielsen fixed point theory and symplectic Floer
homology for symplectomorphisms of surfaces and a calculation of Seidel’s symplectic Floer homology for different mapping
classes. We also describe symplectic zeta functions and an asymptotic symplectic invariant. A generalisation of the Poincaré-Birkhoff
fixed point theorem and Arnold conjecture is proposed.
Dedicated to Vladimir Igorevich Arnold 相似文献
8.
Zbigniew Błocki 《Expositiones Mathematicae》2009,27(2):125-135
We sketch a proof of the Ohsawa–Takegoshi extension theorem (due to Berndtsson) and then present some applications of this result: optimal lower bound for the Bergman kernel, relation to the Suita conjecture, and the Demailly approximation. 相似文献
9.
10.
S. V. Kislyakov 《Journal of Mathematical Sciences》1988,42(2):1584-1590
It is shown that for every l-function f and for every , >0, there exists a function g such that mes {t=g} <, while the partial sums of the Fourier and Fourier-Walsh series of the function g are uniformly bounded by the number C log (–1)f. In the proof we make use of the characterization of the dyadic space H1, in terms of atomic decompositions (it is, apparently, new).Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 149, pp. 67–75, 1986. 相似文献
11.
The aim of this paper is to prove the existence of extension operators for SBV functions from periodically perforated domains. This result will be the fundamental tool to prove the compactness in a noncoercive homogenization problem. 相似文献
12.
13.
14.
Components and isolated points of the topological space of composition operators onH
in the uniform operator topology are characterized. Compact differences of two composition operators are also characterized. With the aid of these results, we show that a component inC(H
) is not in general the set of all composition operators that differ from the given one by a compact operator.Supported by the Grant-in-Aid for Scientific Research (C), the Ministory of Education, Science and Culture, No. 09640218, and the Nippon Institute of Technology No. 111Supported by the Japan Society for the Promotion of Science 相似文献
15.
S. Treil 《Journal d'Analyse Mathématique》2002,87(1):481-495
The main result of the paper is that there exist functionsf
1,f
2,f inH
∞
satisfying the “corona condition”
such thatf
2 does not belong to the idealI generated byf
1,f
2, i.e.,f
2 cannot be represented as f2 ≡ f1g1 + f2g2, g1, g2 ∃ H∞. This gives a negative answer to an old question of T. Wolff [10].
It had been previously known under the same assumptions thatf
p
belongs to the ideal ifp > 2 but a counterexample can be constructed for p < 2; thus our casep = 2 is the critical one.
To get the main result, we improve lower estimates for the solution of the Corona Problem. Specifically, we prove that given
δ > 0, there exist finite Blaschke products f1, f2 satisfying the corona condition
such that for any g1,g2 ∃ H∞ satisfying f1g1 + f2g2 ≡ 1 (solution of the Corona Problem), the estimate |g1| ≥Cδ-2log(-log δ) holds. The estimate |g1|∞ ≥Cδ-2 was obtained earlier by V. Tolokonnikov.
Partially supported by NSF grant DMS-9970395. 相似文献
16.
DING GuangguiSchool of Mathematical Sciences LPMC Nankai University Tianjin China 《中国科学A辑(英文版)》2004,(5)
In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of real l∞-type spaces, then we conclude that such mappings can be extended to the whole space as (real) linear isometries. 相似文献
17.
O. Lazarev and E.H. Lieb proved that, given f1,…,fn∈L1([0,1];C), there exists a smooth function Φ that takes values on the unit circle and annihilates span{f1,…,fn}. We give an alternative proof of that fact that also shows the W1,1 norm of Φ can be bounded by 5πn+1. Answering a question raised by Lazarev and Lieb, we show that if p>1 then there is no bound for the W1,p norm of any such multiplier in terms of the norms of f1,…,fn. 相似文献
18.
Arnold Janssen 《Mathematische Semesterberichte》2001,48(1):103-106
In this note a direct elementary proof of Carathéodory's measure extension theorem is presented. It is based on an approximation
argument for outer measures where elements of the -algebra are approached by elements of the underlying algebra of sets with respect to the symmetric difference.
Received: 3 April 2000 / Accepted: 20 September 2000 相似文献
19.
In this paper, we extend the theorem of Ore regarding factorization of polynomials over p-adic numbers to henselian valued fields of arbitrary rank thereby generalizing the main results of Khanduja and Kumar (J Pure Appl Algebra 216:2648–2656, 2012) and Cohen et al. (Mathematika 47:173–196, 2000). As an application, we derive the analogue of Dedekind’s Theorem regarding splitting of rational primes in algebraic number fields as well as of its converse for general valued fields extending similar results proved for discrete valued fields in Khanduja and Kumar (Int J Number Theory 4:1019–1025, 2008). The generalized version of Ore’s Theorem leads to an extension of a result of Weintraub dealing with a generalization of Eisenstein Irreducibility Criterion (cf. Weintraub in Proc Am Math Soc 141:1159–1160, 2013). We also give a reformulation of Hensel’s Lemma for polynomials with coefficients in henselian valued fields which is used in the proof of the extended Ore’s Theorem and was proved in Khanduja and Kumar (J Algebra Appl 12:1250125, 2013) in the particular case of complete rank one valued fields. 相似文献
20.
I. E. Verbitsky 《Integral Equations and Operator Theory》1992,15(1):124-153
It is proved that the inequality
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