共查询到20条相似文献,搜索用时 31 毫秒
1.
Xiaosong Liu 《Journal of Mathematical Analysis and Applications》2006,324(1):604-614
Suppose f is a spirallike function of type β (or starlike function of order α) on the unit disk D in C. Let , where 1?p1?2 (or 0<p1?2), pj?1, j=2,…,n, are real numbers. In this paper, we prove that
2.
For positive integers α1,α2,…,αr with αr?2, the multiple zeta value or r-fold Euler sum is defined as
3.
Ding-Gong Yang 《Applied mathematics and computation》2010,215(9):3473-3481
Let Tn(A,B,α) denote the class of functions of the form:
4.
Let be the n-dimensional upper half Euclidean space, and let α be any real number satisfying 0<α<n, we study positive solutions of the following system of integral equations in :
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6.
In the present paper we deal with the polynomials Ln(α,M,N) (x) orthogonal with respect to the Sobolev inner product
7.
We study the values of arithmetic functions taken on the elements of a non-homogeneous Beatty sequence ⌊αn+β⌋, , where α,β∈R, and α>0 is irrational. For example, we show that
8.
Let X1,X2,…,Xq be a system of real smooth vector fields satisfying Hörmander's rank condition in a bounded domain Ω of Rn. Let be a symmetric, uniformly positive definite matrix of real functions defined in a domain U⊂R×Ω. For operators of kind
9.
Wojciech Jab?oński 《Journal of Mathematical Analysis and Applications》2007,325(1):675-684
In the paper we examine Pexiderized ?-homogeneity equation almost everywhere. Assume that G and H are groups with zero, (X,G) and (Y,H) are a G- and an H-space, respectively. We prove, under some assumption on (Y,H), that if functions and satisfy Pexiderized ?-homogeneity equation
F1(αx)=?(α)F2(x) 相似文献
10.
Hark-Mahn Kim 《Journal of Mathematical Analysis and Applications》2006,324(1):358-372
Let E1 and E2 be real linear spaces. In this paper, we determine the general solution for a mixed type functional equation of a quartic and a quadratic mapping f:E1→E2,
11.
Hung Viet Le 《Journal of Mathematical Analysis and Applications》2006,316(2):422-432
Under certain natural conditions of a measurable radial function , Γ(y1,y2)=Γ(|y1|,|y2|), we show that the maximal function along surface
12.
In this work we investigate the integrability properties of the maximal operator Mμ, associated with a non-doubling measure μ defined on the Euclidean space , with special emphasis on the Gaussian and similar measures. Among other results we show for a wide class of radial and decreasing measures μ, that Mμ satisfies the modular inequality
13.
Yasuo Teranishi 《Discrete Mathematics》2002,257(1):183-189
14.
A. El Garna 《Journal of Mathematical Analysis and Applications》2004,298(2):463-486
In this paper, we develop the left-definite spectral theory associated with the self-adjoint operator Aμ in , generated from the Dunkl second-order Hermite differential equation
15.
For finite subsets A1,…,An of a field, their sumset is given by . In this paper, we study various restricted sumsets of A1,…,An with restrictions of the following forms:
16.
Norbert Ortner 《Bulletin des Sciences Mathématiques》2003,127(10):835-843
L. Hörmander's extension of Ásgeirsson's mean value theorem states that if u is a solution of the inhomogeneous ultrahyperbolic equation (Δx−Δy)u=f, , , then
17.
A. Jiménez-Vargas 《Journal of Mathematical Analysis and Applications》2008,337(2):984-993
Given a real number α∈(0,1) and a metric space (X,d), let Lipα(X) be the algebra of all scalar-valued bounded functions f on X such that
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Let be a sequence of i.i.d. random variables taking values in a real separable Hilbert space (H,‖⋅‖) with covariance operator Σ, and set Sn=X1+?+Xn, n?1. Let . We prove that, for any 1<r<3/2 and a>−d/2,
20.
Michael Solomyak 《Journal of Approximation Theory》2003,121(2):199-219
Some results on the approximation of functions from the Sobolev spaces on metric graphs by step functions are obtained. In particular, we show that the approximation numbers an of the embedding operator of the Sobolev space on a graph G of finite length |G| into the space , where μ is an arbitrary finite Borel measure on G, satisfy the inequality