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1.
— [0,1] ,E — - e=1 [0,1]. I —
E
=1, E=L
2 x
e
=xL
2 x E.
This work was prepared when the second author was a visiting professor of the CNR at the University of Firenze. He was supported by the Soros International Fund. 相似文献
This work was prepared when the second author was a visiting professor of the CNR at the University of Firenze. He was supported by the Soros International Fund. 相似文献
2.
J. A. de la Peña 《manuscripta mathematica》1988,61(2):183-194
Letk be an algebraically closed field and a finite dimensionalk-algebra. Letq be the quadratic Tits form associated with . If is tame we show thatq is weakly semipositive. Let be a one-point extension of a tame concealed algebra, then is tame iffq is weakly semipositive. 相似文献
3.
1<q<2 L:=
n=1
1/q
n=1/q–1. [0,1]
n()=1, A
n:=
i=1
n–1
i(x)/qi+1/n
x
n(x)=0, n>. , =
n=1
n(x)/qn. F: [0,L]R , F(x)=
n=1
n(x)an,
n=1
¦a
n¦<. [0,L]. q(1,2), . , q(1, 2), . . 相似文献
4.
V. F. Gapoškin 《Analysis Mathematica》1980,6(2):105-119
a
k
f
k
, f
k
L
2, w-, (2), w(n) — .
a
k
f
k
N {a
k
}l
2, {a
k
}l
2 ( 1, 2, 1a, 2a). ( 2) [8]. , {a
k
} w-. 相似文献
5.
U — [0, 1] Y — . X=[1–U
1/v
/Y], U Y. 相似文献
6.
K. Koncz 《Analysis Mathematica》1987,13(1):75-91
, (1). 3, , ()=, (8) (16). [1], . (28) (31) ( 5), - (. [3]).
The author thanks Professor M.Arató for having pointed out this problem, and for his valuable suggestions. 相似文献
The author thanks Professor M.Arató for having pointed out this problem, and for his valuable suggestions. 相似文献
7.
T. J. Ford 《Algebras and Representation Theory》2003,6(5):501-514
A central division algebra over the field of rational functions in two variables with coefficients over an algebraically closed field ramifies along a divisor on P
2. If the ramification divisor of is a quartic curve which is the union of simply connected curves, we show that is a symbol algebra and satisfies the index equals exponent equation. 相似文献
8.
T. I. Akhobadze 《Analysis Mathematica》1982,8(2):79-102
. , , –1<<0. .
The present work was written on the basis of two earlier works received byAnalysis Mathematica on January 16, 1979, and July 20, 1979. 相似文献
The present work was written on the basis of two earlier works received byAnalysis Mathematica on January 16, 1979, and July 20, 1979. 相似文献
9.
10.
В. Н. Деменко 《Analysis Mathematica》1989,15(1):17-35
p- . E R
n -, f () p(R
n)., ER
n 2nq
0, E— - q
0(q
0-1). : q0>2 n1 E
R
n 2nq
0, p- p<0. , f-[-, ]n, f A
p(R
n) ,
p([-, ]n) (1 << ). 相似文献
11.
Let be a probability measure on a locally compact groupG. A real Borel functionf onG is called -harmonic if it satisfies the convolution equation *f=f. Given that isnonsingular with its translates, we show that the bounded -harmonic functions are constant on a class of groups including the almost connected [IN]-groups. If is nondegenerate and absolutely continuous, we solve the more general equation *= for positive measure on those groups which are metrizable and separable.Supported by Hong Kong RGC Earmarked Grant and CUHK Direct Grant 相似文献
12.
Xiaodong Zhou 《Applied Mathematics and Optimization》1992,25(3):263-285
We study the parabolic problemu/t=divx p() in the function space L2(0, T; BV()). Here is the linear growth functional arising from the study of plastic antiplanar shear deformations. 相似文献
13.
A. M. Mohamad 《Acta Mathematica Hungarica》1998,80(4):285-291
In this paper we introduce the concepts of a quasi-G*-diagonal and quasi--space as generalizations of the concepts of G*-diagonal and -space respectively. It is shown that a quasi-Moore space may be characterized in terms of these concepts. As a consequence we obtain the following metrization theorems: every paracompact -space with quasi-G-diagonal is metrizable and every collectionwise normal quasi--space is metrizable. 相似文献
14.
A. V. Tushev 《Ukrainian Mathematical Journal》1995,47(4):663-664
In this paper, we prove the existence of an element of the group algebra A=F of a free groupF with two generatorsx andy over the field of complex numbersC such that, for any complexa andb for which ¦a¦=¦b¦=1, we haveA
a,b
()A=0, where
a,b
( is an automorphism ofA that mapsx,y intoax, by, respectively. Thus, we give a negative answer to question 12.46 of P. A. Linnel from Kourovka Notebook.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No.4, pp. 571–572, April, 1995. 相似文献
15.
Summary We study integral functionals of the formF(u, )=
f(u)dx, defined foru C1(;R
k), R
n
. The functionf is assumed to be polyconvex and to satisfy the inequalityf(A) c0¦(A)¦ for a suitable constant c0 > 0, where (A) is then-vector whose components are the determinants of all minors of thek×n matrixA. We prove thatF is lower semicontinuous onC
1(;R
k) with respect to the strong topology ofL
1(;R
k). Then we consider the relaxed functional , defined as the greatest lower semicontinuous functional onL
1(;R
k
) which is less than or equal toF on C1(;R
k). For everyu BV(;R
k) we prove that (u,)
f(u)dx+c0¦Dsu¦(), whereDu=u dx+Dsu is the Lebesgue decomposition of the Radon measureDu. Moreover, under suitable growth conditions onf, we show that (u,)=
f(u)dx for everyu W1,p(;R
k), withp min{n,k}. We prove also that the functional (u, ) can not be represented by an inte- gral for an arbitrary functionu BVloc(R
n;R
k). In fact, two examples show that, in general, the set function (u, ) is not subadditive whenu BVloc(R
n;R
k), even ifu W
loc
1,p
(R
n;R
k) for everyp < min{n,k}. Finally, we examine in detail the properties of the functionsu BV(;R
k) such that (u, )=
f(u)dx, particularly in the model casef(A)=¦(A)¦. 相似文献
16.
Ferenc Móricz 《Analysis Mathematica》1985,11(2):125-137
, - , (C, 1,1), (C, 1,0) (C, 0,1)- . , , . - .
Dedicated to Academician S. M. Nikol'skii on his 80th birthday 相似文献
Dedicated to Academician S. M. Nikol'skii on his 80th birthday 相似文献
17.
18.
D. V. Leladze 《Analysis Mathematica》1991,17(4):281-295
n- (n1) fL
p
([–, ]
n
),=1 = (L
C) . , , f([–, ]
n
). 相似文献
19.
20.
O. V. Shvartsman 《Functional Analysis and Its Applications》2003,37(2):147-154
We find all pairs (,a) consisting of a cocompact Fuchsian group of genus zero and an automorphy factor a of for which the graded algebra of a--automorphic forms is free. 相似文献