共查询到20条相似文献,搜索用时 46 毫秒
1.
A. B. Aleksandrov 《Journal of Mathematical Sciences》1993,63(2):115-129
Let be an inner function, let C, ¦¦=1. Then the harmonic function [(+)]/(–)] is the Poisson integral of a singular measure
D. N. Clark's known theorem enables us to identify in a natural manner the space H2 H2 with the space L2
(
).Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 170, pp. 7–33, 1989. 相似文献
2.
In-Suk Wee 《Probability Theory and Related Fields》1990,85(4):469-488
Summary Let {X
t
} be a 1 process with stationary independent increments and its Lévy measurev be given byv{yy>x}=x
–L
1
(x), v{yy<–x}=x
–L
2
(x) whereL
1,L
2 are slowly varying at 0 and and 0<1. We construct two types of a nondecreasing functionh(t) depending on 0<<1 or =1 such that lim inf
a.s. ast 0 andt for some positive finite constantC.This research is partialy supported by a grant from Korea University 相似文献
3.
Torben Maack Bisgaard 《Analysis Mathematica》2001,27(1):37-54
For >2, let Q
+() be the infimum of those q>0 for which the function n epn is positive definite on N
0 for every pq. We shall prove that Q
+()0 as 2. 相似文献
4.
Kevin E. Osondu 《Semigroup Forum》1979,17(1):139-152
Let S be a cancellative semigroup which is a semilattice of left reversible semigroups S, . This article studies the relationship between the group of quotients G of S and the groups of quotients G of S, . It is shown that G is the maximum group homomorphic image of an inverse semigroup which is a semilattice of groups G (up to isomorphism).The technique used here which involves the use of Ore's quotients also applies to the study of the maximum group homomorphic image of a semigroup which is a semilattice of inverse semigroups. 相似文献
5.
E. M. Matveev 《Mathematical Notes》1996,59(3):293-297
In this note we show that in the well-known Dobrowolski estimate lnM() (ln lnd/ lnd)3,d , where is a nonzero algebraic number of degreed that is not a root of unity andM() is its Mahler measure, the parameterd can be replaced by the quantity=d/()
1/d, where () is the modulus of the discriminant of. To this end, must satisfy the condition deg
p=deg for any primep.Translated fromMatematicheskie Zametki, Vol. 59, No. 3, pp. 415–420, March, 1996. 相似文献
6.
Shigeyoshi Owa 《Georgian Mathematical Journal》1995,2(5):535-545
Two integral operatorsP
andQ
for analytic functions in the open unit disk are introduced. The object of the present paper is to derive some properties of integral operatorsP
andQ
. 相似文献
7.
For every irrational number [0, 1) which is not of constant type we construct aC
2-diffeomorphism of the circle with rotation number which is of type III1. This diffeomorphism can be chosen arbitrarily close to the rotationR
. Our methods also allow us to construct, for every Liouville number [0, 1), aC
-diffeomorphism of the circle with rotation number which is of type III1. 相似文献
8.
Manabu Iwasa 《Annals of the Institute of Statistical Mathematics》1991,43(4):657-665
This paper discusses -admissiblility and d-admissiblity which are important concepts in studying the performance of statistical tests for composite hypotheses. A sufficient condition for -admissibility is presented. When =1/m, the Nomakuchi-Sakata test, which is uniformly more powerful than the likelihood ratio test for hypotheses min (1, 1) = 0 versus min (1, 1) > 0, is generalized for a class of distributions in an exponential family, and its unbiasedness and -admissibility are shown. Finally, the case of 1/m is discussed in brief. 相似文献
9.
A. G. Pinus 《Mathematical Notes》1972,11(1):54-57
It is shown that if a linearly ordered set B does not contain as subsets sets of order type
and
*
then B can be embedded in 2
. We construct an example of a set satisfying the above conditions which cannot be embedded in any 2
if <
. Simultaneously we show that for any ordinal, 2
+1
cannot be embedded in 2
and that there exists at least
+1
distinct dense order types of cardinality 2
.Translated from Matematicheskie Zametki, Vol. 11, No. 1, pp. 83–88, January, 1972.In conclusion, I wish to take the opportunity to thank Yu. L. Ershov for kindness and assistance in this work. 相似文献
10.
N. Phan-Thien 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1981,32(5):609-615
It is shown that a similarity solution to the Rayieigh flow problem for a generalized Newtonian fluid exists if the fluid boundary (y=0) is given a velocityU(t) t
1/2. Furthermore, if the fluid is of the power-law type then similarity solutions exist ifU(t) t
(orU(t) e
t), where is any real number.
Zusammenfassung Eine Methode wird aufgezeigt, wonach eine Ähnlichkeitslösung für das Rayleigh Strömungsproblem für eine allgemeine Newtonische Flüssigkeit besteht, falls der Flüssigkeitsgrenze (y=0) eine GeschwindigkeitU (t) t 1/2 zugeordnet wird. Für Flüssigkeiten von Potenz-Gesetz-Charakter gibt es außerdem Ähnlichkeitslösungen, fallsU(t) t (orU(t) e t) gilt, wobei eine beliebige reelle Zahl darstellt.相似文献
11.
M. B. Nathanson 《Acta Mathematica Hungarica》2000,87(3):179-195
Let A be a set of positive integers with gcd (A) = 1, and let p
A
(n) be the partition function of A. Let c
0 = 2/3. If A has lower asymptotic density and upper asymptotic density , then lim inf log p
A
(n)/c
0 n and lim sup log p
A
(n)/c
0 n . In particular, if A has asymptotic density > 0, then log p
A
(n) c0n. Conversely, if > 0 and log p
A
(n) c
0 n, then the set A has asymptotic density . 相似文献
12.
Janet Heine Barnett 《Periodica Mathematica Hungarica》1995,30(3):171-176
It is consistent that 1(1,(:n))2 holds in any random extension for n finite and countable. 相似文献
13.
We derive Sobolev inequalities for Besov spaces B
p,p
(F), 0<<1, 1p< on d-sets F in R
n
, dn, from a metric property of the Bessel capacity on R
n
. We first extend Kaimanovitch's result on the equivalence of Sobolev and capacitary inequalites for contractive p-norms in a general setting allowing unbounded Lévy kernels. A simple part of the Jonsson–Wallin trace theorem for Besov spaces and some basic properties of Bessel and Besov capacities on R
n
are then utilized in getting the desired inequalities. When p=2, the Besov space being considered is a non-local regular Dirichlet space and gives rise to a jump type symmetric Markov process M
over the d-set. The upper bound of the transition function of M
and metric properties of M
-polar sets are then exhibited. 相似文献
14.
U. Goginava 《Analysis Mathematica》2000,26(3):209-226
In this paper we prove that if f C
(0, 1
N
) and the function f is of bounded partial variation, then the N-dimensional Walsh-Fourier series of the function f is uniformly (C,–) summable (1 +...+
N
< 1,
i
> 0, i = 1,...,N) in the sense of Pringsheim. If 1 +...+
N
= 1,
i
> 0, i = 1,2,...,N, then there exists a continuous function f
0 of bounded partial variation on [0, 1]
N
such that the Cesàro (C,–) means
m
–
(f0,Õ) of the N-dimensional Walsh-Fourier series of f
0 diverge over cubes. 相似文献
15.
Hiroshi Suzuki 《Graphs and Combinatorics》1991,7(4):363-375
Let be a distance regular graph with diameterd, and
d
() the set of vertices at distanced from. is said to be thin if the induced subgraph on
d
() is a union of cliques for every vertex. We show that the diameterd is bounded above by a function depending only onk
d, which is the cardinality of
d
(), if is not thin. We also investigate thin distance regular graphs witha
d 0. 相似文献
16.
Ikuyo Kaneko 《Mathematical Programming》1977,12(1):48-59
The parametric linear complementarity problem is given by the conditions:q + p + Mz 0, 0,z 0,z
T
(q + p + Mz) = 0. Under the assumption thatM is a P-matrix, Cottle proved that the solution mapz() of the above problem is montonically nondecreasing in the parameter for every nonnegativeq and everyp if and only ifM is a Minkowski matrix. This paper examines whether a similar result holds in various other settings including a nonlinear case. 相似文献
17.
B. B. Bhattacharyya X. Li M. Pensky G. D. Richardson 《Annals of the Institute of Statistical Mathematics》2000,52(1):71-83
The limiting distribution of the normalized periodogram ordinate is used to test for unit roots in the first-order autoregressive model st= s-1,t+s,t-1- s-1,t-1+st. Moreover, for the sequence
n
= e
c/n
,
n
= e
d/n
of local Pitman-type alternatives, the limiting distribution of the normalized periodogram ordinate is shown to be a linear combination of two independent chi-square random variables whose coefficients depend on c and d. This result is used to tabulate the asymptotic power of a test for various values of c and d. A comparison is made between the periodogram test and a spatial domain test. 相似文献
18.
Philip Ehrlich 《Algebra Universalis》1988,25(1):7-16
An -universally extending ordered field of power is constructed for each regular power where 0 < On and
. When is inaccessible, the structure is either a (set) model of J. H. Conway's ordered field No or an isomorphic copy of No depending on whether or not is a set or a proper class.Presented by Jan Mycielski. 相似文献
19.
Toru Nakahara 《Monatshefte für Mathematik》1982,94(2):125-132
In this note we shall prove that there exist infinitely many cyclic biquadratic fieldsK whose integral bases are neither {1, , 2, } nor {1, , , 3) for any numbers , inK. Next, we shall construct infinitely many cyclic biquadratic fieldsK which have the index 1, but still have not the integral basis {1, , 2, 3) for every inK. Finally we shall give a class of biquadratic fields for a problem of Hasse concerning an integral basis. 相似文献
20.
Summary LetB=(B
t,t0) be a planar Brownian motion and let >0. For anyt0, the pointz=B
t is called a one-sided cone point with angle if there exist >0 and a wedgeW(,z) with vertexz and angle such thatB
sW(,z) for everys[t, t+]. Burdzy and Shimura have shown independently that one-sided cone points with angle exist when >/2 but not when 2. The present paper deals with the critical case =/2. We show that cone points with angle /2 do not exist. 相似文献