共查询到20条相似文献,搜索用时 46 毫秒
1.
In order to approximate functions defined on (0, +∞), the authors consider suitable Lagrange polynomials and show their convergence
in weighted L
p
-spaces.
相似文献
2.
3.
We will discuss about the mapping property of Radon transform on L
p
spaces with power weight. It will be shown that the Pitt’s inequality together with the weighted version of Hardy-Littlewood-Sobolev
lemma imply weighted inequality for the Radon transform. 相似文献
4.
Let Γ ⊂ ℝn, n ≥ 2, be the boundary of a bounded domain. We prove that the translates by elements of Γ of functions which transform according
to a fixed irreducible representation of the orthogonal group form a dense class in L
p
(ℝn) for
. A similar problem for noncompact symmetric spaces of rank one is also considered. We also study the connection of the above
problem with the injectivity sets for weighted spherical mean operators.
The first author was supported in part by a grant from UGC via DSA-SAP Phase IV. 相似文献
5.
Let G be a locally compact group, ω be a weight function on G and 1 < p < ∞. Here, we give a sufficient condition for that the weighted L
p
-space L
p
(G, ω) is a Banach algebra. Also, we get some necessary conditions on G and the weight function ω for L
p
(G, ω) to be a Banach algebra. As a consequence, we show that if G is abelian and L
p
(G, ω) is a Banach algebra, then G is σ-compact. 相似文献
6.
A weighted norm inequality for the Marcinkiewicz integral operator
is proved when belongs to
. We also give the weighted
Lp-boundedness for a class of Marcinkiewicz integral operators with rough
kernels
and
related to the Littlewood-Paley
-function and the
area integral S, respectively. 相似文献
7.
The paper investigates L
p
convergence and Marcinkiewicz-Zygmund strong laws of large numbers for random elements in a Banach space under the condition
that the Banach space is of Rademacher type p, 1 < p < 2. The paper also discusses L
r
convergence and L
r
bound for random elements without any geometric restriction condition on the Banach space. 相似文献
8.
In this paper, we study the weighted (x(q + 1), x; 2, q)-minihypers. These are weighted sets of x(q + 1) points in PG(2, q) intersecting every line in at least x points. We investigate the decomposability of these minihypers, and define a switching construction which associates to an
(x(q + 1), x; 2, q)-minihyper, with x ≤ q
2 − q, not decomposable in the sum of another minihyper and a line, a (j(q + 1), j; 2, q)-minihyper, where j = q
2 − q − x, again not decomposable into the sum of another minihyper and a line. We also characterize particular (x(q + 1), x; 2, q)-minihypers, and give new examples. Additionally, we show that (x(q + 1), x; 2, q)-minihypers can be described as rational sums of lines. In this way, this work continues the research on (x(q + 1), x; 2, q)-minihypers by Hill and Ward (Des Codes Cryptogr 44:169–196, 2007), giving further results on these minihypers. 相似文献
9.
An atomic decomposition is proved for Banach spaces which satisfy some affine geometric axioms compatible with notions from the quantum mechanical measuring process. This is then applied to yield, under appropriate assumptions, geometric characterizations, up to isometry, of the unit ball of the dual space of a JB*-triple, and up to complete isometry, of one-sided ideals in C*-algebras.Mathematics Subject Classification (2000):17C65, 46L07Both authors are supported by NSF grant DMS-0101153 相似文献
10.
In this paper, we get W
1,p
(R
n
)-boundedness for tangential maximal function and nontangential maximal function, which improves J.Kinnunen, P.Lindqvist and
Tananka’s results.
Supported by the key Academic Discipline of Zhejiang Province of China under Grant No.2005 and the Zhejiang Provincial Natural
Science Foundation of China. 相似文献
11.
Michael Joachim 《Mathematische Annalen》2003,327(4):641-670
We define K-homology groups K
*
() for small C
*
-categories in terms of Hilbert modules over the C
*
-category . We also define a functor A
f
from the category of small C
*
-categories into the category of C
*
-algebras and show that there is a natural isomorphism
. In addition, we give an easy construction of a functor
from the category of C
*
-algebras into the category of symmetric spectra which represents K-homology, i.e. we show that the functor
comes with a natural isomorphism
for C
*
-algebras A. It then follows that the composition
A
f
provides a functor that can be used in the Davis-Lück approach for constructing the Baum-Connes map. 相似文献
12.
Natalio H. Guersenzvaig 《Israel Journal of Mathematics》2009,169(1):109-123
In this paper, very simple sufficient conditions for the irreducibility of f(X
r
) over an arbitrary unique factorization domain Z are established. 相似文献
13.
Functions whose translates span L
p
(R) are called L
p-cyclic functions. For a fixed
p \memb [1, \infty], we construct Schwartz-class functions which are L
r
-cyclic for r > p and not L
r
-
cyclic for r \le p. We then construct Schwartz-class functions which are L
r
-cyclic for r \ge p and
not L
r
-cyclic for r < p. The constructions differ for p \memb (1, 2) and p > 2. 相似文献
14.
F. A. Shamoyan 《Siberian Mathematical Journal》2009,50(6):1115-1132
We obtain a necessary and sufficient condition on a weight function for every nowhere vanishing holomorphic function in the
unit ball in the weighted L
p
-space to be weakly invertible in the corresponding L
q
-space for all q < p. 相似文献
15.
We give a characterization of structurally stable diffeomorphisms by making use of the notion of L
p
-shadowing property. More precisely, we prove that the set of structurally stable diffeomorphisms coincides with the C
1-interior of the set of diffeomorphisms having L
p
-shadowing property. 相似文献
16.
QiaoLingXIA YiBingSHEN 《数学学报(英文版)》2004,20(6):1029-1046
In this paper, we reformulate the Euler-Lagrange equations of Willmore surfaces in S^n as the flatness of a family of certain loop algebra-valued 1-forms. Therefore we can give the Weierstrass type representation of conformal Willmore surfaces. We also discuss the relations between conformal Willmore surfaces in S^n and minimal surfaces in constant curvature spaces S^n, R^n, H^n, and prove that some special Willmore surfaces can be derived from minimal surfaces in S^n, R^n, H^n. 相似文献
17.
18.
Using measure-capacity inequalities we study new functional inequalities, namely L
q
-Poincaré inequalities
and L
q
-logarithmic Sobolev inequalities
for any q ∈ (0, 1]. As a consequence, we establish the asymptotic behavior of the solutions to the so-called weighted porous media
equation
for m ≥ 1, in terms of L
2-norms and entropies.
相似文献
19.
In this article we study the problem of extending Fourier
Multipliers on L
p
(T) to those on L
p
(R)
by taking convolution with a kernel, called a summability
kernel. We characterize the space of such kernels
for the cases p = 1 and p = 2. For other values of p we give a
necessary condition for a function to be a
summability kernel. For the case p = 1, we present
properties of measures which are transferred from M(T) to
M(R) by summability kernels. Furthermore it is
shown that every l
p
sequence can be extended to some
L
q
(R) multipliers for certain values of p and q. 相似文献
20.
Pairwise disjoint 3-GDDs can be used to construct some optimal constant-weight codes. We study the existence of a pair of
disjoint 3-GDDs of type g
t
u
1 and establish that its necessary conditions are also sufficient. 相似文献