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V. A. Okulov 《Mathematical Notes》1997,61(5):600-608
Zygmund proved an inequality describing the dependence of the modulus of continuity of the adjoint function on that of the
original function lying in the space of 2π-periodic continuous functions. The present article contains estimates of partial
moduli of continuity of the adjoint function of several variables in the spaceC. Examples show that these estimates are sharp.
Translated fromMatematicheskie Zametki, Vol. 61, No. 5, pp. 717–727, May, 1997.
Translated by A. M. Chebotarev 相似文献
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Lajos Takcs 《Journal of Combinatorial Theory, Series A》1981,30(3):345-348
In 1954, M. Kac discovered a probabilistic interpretation of a theorem of G. Szegö of Toeplitz matrices and demonstrated that this theorem can be provedin an elementary way by using a combinatorial identify of G. A. Hunt. In this paper Hunt's combinatorial identity is derived from a more general combinatorial result. 相似文献
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S. A. Gritsenko 《Mathematical Notes》1992,51(6):553-558
Translated from Matematichskie Zametki, Vol. 51, No. 6, pp. 32–40, June, 1992. 相似文献
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Czechoslovak Mathematical Journal - We prove that for normal operators N1, $${N_2} \in {\cal L}({\cal H})$$ , the generalized commutator [N1, N2; X] approaches zero when [N1, N2; [N1, N2; X]] tends... 相似文献
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Svatoslav Staněk 《Journal of Differential Equations》1978,30(3):287-295
This paper gives a generalization of the Sturm comparison theorem for differential equations (p): y″ = p(t)y, (q): y″ = q(t)y under the assumption that the function p ? q changes its sign exactly once on [a, b] or ∝tbp ? q, ∝atp ? q maintain the sign on [a, b]. The results are used for investigating the distributions of zeros of solutions and the derivative of solutions of (p), (q). 相似文献
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J. Saint Raymond 《Archiv der Mathematik》2000,74(6):432-437
The aim of this note is to prove the following statement. It gives an extension of the theorem proved by O. Y. Borenshtein and V. S. Shul'man in [1]. 相似文献
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ON A MIN-MAX THEOREM 总被引:2,自引:0,他引:2
WUGUANGRONG HUANGWENHUA SHENZUHE 《高校应用数学学报(英文版)》1997,12(3):293-298
In this paper we prove a nonvariational form of a rain-max problem in [l] and give its application to a periodical problem. 相似文献
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Institute of Mathematics, Hanoi. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 30, No. 3, pp. 93–94, July–September,
1996. 相似文献
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M. V. Myronyuk 《Ukrainian Mathematical Journal》2008,60(9):1437-1447
According to the well-known Skitovich-Darmois theorem, the independence of two linear forms of independent random variables
with nonzero coefficients implies that the random variables are Gaussian variables. This result was generalized by Krakowiak
for random variables with values in a Banach space in the case where the coefficients of forms are continuous invertible operators.
In the first part of the paper, we give a new proof of the Skitovich-Darmois theorem in a Banach space. Heyde proved another
characterization theorem similar to the Skitovich-Darmois theorem, in which, instead of the independence of linear forms,
it is supposed that the conditional distribution of one linear form is symmetric if the other form is fixed. In the second
part of the paper, we prove an analog of the Heyde theorem in a Banach space.
Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 9, pp. 1234–1242, September, 2008. 相似文献
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One of the most frequently referenced monographs on power series rings, “Power Series over Commutative Rings” by James W. Brewer, states in Theorem 21 that if M is a non-SFT maximal ideal of a commutative ring R with identity, then there exists an infinite ascending chain of prime ideals in the power series ring , such that for each n. Moreover, the height of is infinite. In this paper, we show that the above theorem is false by presenting two counter examples. The first counter example shows that the height of can be zero (and hence there is no chain of prime ideals in satisfying for each n). In this example, the ring R is one-dimensional. In the second counter example, we prove that even if the height of is uncountably infinite, there may be no infinite chain of prime ideals in satisfying for each n. 相似文献
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A new version and a modified proof of Yulmukhametov’s theorem on the decomposition of measures are given.
Translated fromMatematicheskie Zametki, Vol. 67, No. 6, pp. 859–862, June, 2000. 相似文献
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M. I. Gordin proved a central limit theorem for some strictly stationary strongly mixing random sequences without the usual assumption of finite second moments. In this note we show that in that theorem, his assumption of a mixing rate (for the strong mixing condition) cannot be altogether omitted 相似文献
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Let R denote a right principally injective ring. In this note we show that if R is right duo then R is right finite dimensional if and only if R has a finite number of maximal left ideals. This extends and answers an open question of Camillo. If, instead, every simple right module can be embedded in R, we show that R is left finite dimensional if it has a finite number of maximal right ideals. 相似文献