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1.
We prove analogies of the classical Gagliardo-Nirenberg inequalities
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2.
In this paper the spaces of type Sobolev-Morrey-W p,a,г,τ l (Q,G)-are constructed, the differential properties are studied and it is proved that the functions from these spaces satisfy Holder's condition, in the case, if the domain G∋R n satisfies the flexible λ-horn condition.  相似文献   

3.
We investigate the Dunkl transform Fk{\mathcal{F}_k} on Hardy type space in the Dunkl setting and establish a version of Paley type inequality for this transform.  相似文献   

4.
We give a spinorial proof of a Heintze–Karcher-type inequality in the hyperbolic space proved by Brendle [4]. The proof relies on a generalized Reilly formula on spinors recently obtained in [7].  相似文献   

5.
设1/p=1/q≈1:1且P〉1.通过引入一个适当的积分核函数和参数λ(λ〉-1),创建了一种新型Hardy~Hilbert型积分不等式.证明了其常数因子(p^λ=1+q^λ+1)Г(λ+1)是最佳的,其中Г(x)Г-函数.特别,当p=2时,得到了一种新的Hilbert型积分不等式.作为应用,给出了它的一种等价形式.  相似文献   

6.
Motivated by the idea of M. Ledoux who brings out the connection between Sobolev embeddings and heat kernel bounds, we prove an analogous result for Kohn’s sub-Laplacian on the Heisenberg type groups. The main result includes features of an inequality of either Sobolev or Galiardo-Nirenberg type.  相似文献   

7.
8.
The following is proved: If is a function harmonic in the unit ball and if then the inequality

holds, where is the nontangential maximal function of This improves a recent result of Stoll. This inequality holds for polyharmonic and hyperbolically harmonic functions as well.

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9.
This paper is devoted to inequalities of Lieb-Thirring type. Let V be a nonnegative potential such that the corresponding Schrödinger operator has an unbounded sequence of eigenvalues (λi(V))iN. We prove that there exists a positive constant C(γ), such that, if γ>d/2, then
(∗)  相似文献   

10.
In this paper the dependence of the constant in the inequality on simply connected bounded domains is found.

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11.
We prove a Bernstein type inequality involving the Bergman and Hardy norms for rational functions in the unit disk \mathbb D {\mathbb D} that have at most n poles all of which are outside the disk \frac1r \mathbb D \frac{1}{r} {\mathbb D} , 0 < r < 1. The asymptotic sharpness of this inequality is shown as n → ∞ and r → 1—. We apply our Bernstein type inequality to an efficient Nevanlinna–Pick interpolation problem in the standard Dirichlet space constrained by the H2-nom. Bibliography: 14 titles.  相似文献   

12.
In this paper, a new Picone-type identity for the quasilinear differential operator of the second order is used to establish an integral inequality involving functions and their derivatives which generalizes the classical Wirtinger inequality.  相似文献   

13.
14.
On a polynomial inequality of Kolmogoroff's type   总被引:1,自引:0,他引:1  
We prove an inequality of the form

for polynomials of degree and any fixed . Here is the -norm on with a weight . The coefficients and are given explicitly and depend on and only. The equality is attained for the Hermite orthogonal polynomials .

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15.
The main objective of this paper is a study of some new multidimensional Hilbert type inequalities with a general homogeneous kernel. We derive a pair of equivalent inequalities, and also establish the conditions under which the constant factors included in the obtained inequalities are the best possible. Some applications in particular settings are also considered.  相似文献   

16.
The Chebyshev type inequality for seminormed fuzzy integral is discussed. The main results of this paper generalize some previous results obtained by the authors. We also investigate the properties of semiconormed fuzzy integral, and a related inequality for this type of integral is obtained.  相似文献   

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19.
In this paper,we investigate the growth relations between algebroid functions and their derivatives,and extend famous C.Chang inequality(see[1,4])of meromorphic functions to algebroid functions.  相似文献   

20.
This paper deals with the continuity of the sharp constant K(T,X) with respect to the set T in the Jackson-Stechkin inequality $E(f,L) \leqslant K(T,X)\omega (f,T,X),$ , where E(f,L) is the best approximation of the function f ∈ X by elements of the subspace L ? X, and ω is a modulus of continuity, in the case where the space L 2( $\mathbb{T}^d $ , ?) is taken for X and the subspace of functions g ∈ L 2( $\mathbb{T}^d $ , ?), for L. In particular, it is proved that the sharp constant in the Jackson-Stechkin inequality is continuous in the case where L is the space of trigonometric polynomials of nth order and the modulus of continuity ω is the classical modulus of continuity of rth order.  相似文献   

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