共查询到20条相似文献,搜索用时 890 毫秒
1.
Lanzhe Liu 《Proceedings Mathematical Sciences》2004,114(3):235-251
In this paper, the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue
spaces to Orlicz spaces are obtained. The operators include Calderón—Zygmund singular integral operator, fractional integral
operator, Littlewood—Paley operator and Marcinkiewicz operator. 相似文献
2.
Pietsch’s domination theorem, which is known for linear, multilinear and polynomial mappings, is extended to a larger class
of nonlinear mappings. 相似文献
3.
Continuity is obtained of some multilinear operators related to certain integral operators for the weighted Herz spaces with extreme exponents. The operators include the Littlewood–Paley and Marcinkiewicz operators. 相似文献
4.
Oscar Blasco Geraldo Botelho Daniel Pellegrino Pilar Rueda 《Monatshefte für Mathematik》2011,163(2):131-147
In this paper we prove new results concerning summability properties of multilinear mappings between Banach spaces, such as an extension of Littlewood’s 4/3 Theorem. The role of the Littlewood–Orlicz property in the theory is established, especially in the question of determining when multilinear mappings are (1; 2, . . . , 2)-summing. 相似文献
5.
We introduce a general definition of almost
p-summing mappings and
give several concrete examples of such mappings. Some known results are
considerably generalized and we present various situations in which the
space of almost p-summing multilinear
mappings coincides with the whole space of continuous multilinear mappings.
Received: 17 June 2002 相似文献
6.
We obtain results on three aspects of Nicodemi extensions of multilinear mappings between Banach spaces: (i) subspace invariance,
(ii) the norms of the extension operators, (iii) when Aron–Berner extensions are Nicodemi extensions. 相似文献
7.
Pádraig Kirwan 《Mathematische Nachrichten》2001,231(1):39-68
We study various methods of complexifying real normed spaces. We see how the notions of duality and complexification are interchangeable. We obtain estimates for the norms of complexified multilinear mappings and polynomials. We see how polynomials can be complexified without reference to the associated multilinear mappings. 相似文献
8.
In this paper we extend and generalize several known estimates for homogeneous polynomials and multilinear mappings on Banach spaces. Applying the theory of absolutely summing nonlinear mappings, we prove that estimates which are known for mappings on ?p spaces in fact hold true for mappings on arbitrary Banach spaces. 相似文献
9.
Cláudia F. R. Concordido Dinamérico P. Pombo 《Rendiconti del Circolo Matematico di Palermo》2002,51(2):213-236
Criteria for the equicontinuity of sets of multilinear mappings between topological modules are studied, as well as topological
modules of continuous multilinear mappings. As a consequence, criteria for the equicontinuity of sets of homogeneous polynomials
between topological modules are also studied, as well as topological modules of continuous homogeneous polynomials. 相似文献
10.
Dahmane Achour 《Rendiconti del Circolo Matematico di Palermo》2011,60(3):337-350
In this paper we introduce and study a new class containing the class of absolutely summing multilinear mappings, which we call absolutely (p;q 1,…,q m ;r)-summing multilinear mappings. We investigate some interesting properties concerning the absolutely (p;q 1,…,q m ;r)-summing m-linear mappings defined on Banach spaces. In particular, we prove a kind of Pietsch’s Domination Theorem and a multilinear version of the Factorization Theorem. 相似文献
11.
T Praciano-Pereira 《Journal of Mathematical Analysis and Applications》1981,81(2):561-568
In this paper we generalize an old result of Littlewood and Hardy about bilinear forms defined in a class of sequence spaces. Historically, Littlewood [Quart. J. Math.1 (1930)] first proved a result on bilinear forms on bounded sequences and this result was then generalized by Hardy and Littlewood in a joint paper [Quart. J. Math.5(1934)] to bilinear forms on a class of lp spaces. Later Davie and Kaijser proved Littlewood's results for multilinear forms. In this paper, Theorems A and B generalize the results to multilinear forms on lp spaces. All the results are stated at the end of Section 1. Theorems A and B are proved, respectively, in Sections 2 and 3. 相似文献
12.
Verónica Dimant 《Linear and Multilinear Algebra》2019,67(2):248-266
We analyse the interplay between maximal/minimal/adjoint ideals of multilinear operators (between sequence spaces) and their associated Köthe sequence spaces. We establish relationships with spaces of multipliers and apply these results to describe diagonal multilinear operators from Lorentz sequence spaces. We also define and study some properties of the ideal of (E, p)-summing multilinear mappings, a natural extension of the linear ideal of absolutely (E, p)-summing operators. 相似文献
13.
Aequationes mathematicae - By using superquadracity, the new inequalities in this paper generalize a result of Hardy–Littlewood–Pólya and refine Jensen’s type inequalities.... 相似文献
14.
Cristiane A. Mendes 《Journal of Mathematical Analysis and Applications》2005,304(1):137-146
We present some results on factorization of Hilbert-Schmidt multilinear mappings and polynomials through infinite dimensional Banach spaces, L1 and L∞ spaces. We conclude this work with a result on factorization of holomorphic mappings of Hilbert-Schmidt type. 相似文献
15.
Journal of Nonlinear Science - We derive time-averaged $$L^1$$ estimates on Littlewood–Paley decompositions for linear advection–diffusion equations. For wave numbers close to the... 相似文献
16.
Annals of Combinatorics - In work with A. Yong, the author introduced genomic tableaux to prove the first positive combinatorial rule for the Littlewood–Richardson coefficients in... 相似文献
17.
It is well known that not every summability property for multilinear operators leads to a factorization theorem. In this paper we undertake a detailed study of factorization schemes for summing linear and nonlinear operators. Our aim is to integrate under the same theory a wide family of classes of mappings for which a Pietsch type factorization theorem holds. Our construction includes the cases of absolutely p-summing linear operators, (p, σ)-absolutely continuous linear operators, factorable strongly p-summing multilinear operators, (p1,?. . .?, pn)-dominated multilinear operators and dominated (p1,?. . .?, pn; σ)-continuous multilinear operators. 相似文献
18.
Any real-valued nonlinear function in 0–1 variables can be rewritten as a multilinear function. We discuss classes of lower
and upper bounding linear expressions for multilinear functions in 0–1 variables. For any multilinear inequality in 0–1 variables,
we define an equivalent family of linear inequalities. This family contains the well-known system of generalized covering
inequalities, as well as other linear equivalents of the multilinear inequality that are more compact, i.e., of smaller cardinality.
In a companion paper [7]. we discuss dominance relations between various linear equivalents of a multilinear inequality, and
describe a class of algorithms for multilinear 0–1 programming based on these results.
Research supported by the National Science Foundation under grant ECS7902506 and by the Office of Naval Research under contract
N00014-75-C-0621 NR 047-048. 相似文献
19.
We improve the vector-valued Marcinkiewicz multiplier theorem in a subclass of UMD spaces (introduced by Berkson, Gillespie
and Torrea), where Rubio de Francia’s generalized Littlewood–Paley inequality is valid.
Received: 10 October 2005; revised: 7 December 2005 相似文献
20.
Hans-Andreas Braunss 《Journal of Mathematical Analysis and Applications》2004,297(2):740-750
We construct a factorization of certain multilinear mappings through linear operators belonging to closed, injective operator ideals using interpolation technique. An extension of the duality theorem for interpolation spaces is also obtained. 相似文献