共查询到20条相似文献,搜索用时 15 毫秒
1.
Let I=[a,b]⊂R, let 1<p?q<∞, let u and v be positive functions with u∈Lp′(I), v∈Lq(I) and let be the Hardy-type operator given by
2.
J. Lang 《Journal of Approximation Theory》2006,140(2):141-146
Consider the Hardy-type operator T : Lp(a,b)→Lp(a,b),-∞a<b∞, which is defined byIt is shown thatwhere ρn(T) stands for any of the following: the Kolmogorov n-width, the Gel’fand n-width, the Bernstein n-width or the nth approximation number of T. 相似文献
3.
We investigate the weighted composition operator from the weighted Bergman space into the weighted Hardy space on the unit ball. As a consequence of the investigation, we also give a characterization for the boundedness and compactness of the operator whose the target space is the Hardy space. 相似文献
4.
We introduce a version of weighted anisotropic Morrey spaces and anisotropic Hardy operators. We find conditions for boundedness of these operators in such spaces. We also reveal the role of these operators in solving some classes of degenerate hyperbolic partial differential equations. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
5.
Zdeněk Mihula 《Mathematische Nachrichten》2023,296(8):3492-3538
The behavior of certain weighted Hardy-type operators on rearrangement-invariant function spaces is thoroughly studied. Emphasis is put on the optimality of the obtained results. First, the optimal rearrangement-invariant function spaces guaranteeing the boundedness of the operators from/to a given rearrangement-invariant function space are described. Second, the optimal rearrangement-invariant function norms being sometimes complicated, the question of whether and how they can be simplified to more manageable expressions is addressed. Next, the relation between optimal rearrangement-invariant function spaces and interpolation spaces is investigated. Last, iterated weighted Hardy-type operators are also studied. 相似文献
6.
7.
Let I = [a , b ] ? ?, let 1 < q ≤ p < ∞, let u and v be positive functions with u ∈ L p ′ (I ) and v ∈ L q (I ), and let T : L p (I ) → L q (I ) be the Hardy‐type operator given by Given any n ∈ ?, let s n stand for either the n ‐th approximation number of T or the n ‐th Kolmogorov width of T . We show that where c pq is an explicit constant depending only on p and q . (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
8.
In this paper, the maximal operator associated with multilinear Calderón-Zygmund singular integral operators will be studied by using an improved Coltlar's inequality. Moreover, weighted norm inequalities and some estimates on weighted Hardy spaces are obtained for this maximal operator. 相似文献
9.
An asymptotic formula for the essential norm of composition operators acting between two weighted Hardy spaces Hw1 and Hw2, where w1 and w2 are two admissible weight functions, is given. The boundedness of the operators is also characterized. 相似文献
10.
11.
Pedro Ortega Salvador Consuelo Ramírez Torreblanca 《Journal of Mathematical Analysis and Applications》2007,336(1):593-607
We characterize the pairs of weights (u,v) such that the geometric mean operator G1, defined for positive functions f on (0,∞) by
12.
13.
In this paper, applying the atomic decomposition and molecular characterization of the real weighted Hardy spaces , we give the weighted boundedness of the homogeneous fractional integral operator from to , and from to . 相似文献
14.
Xiangdong Yang 《复变函数与椭圆型方程》2016,61(3):351-358
Our purpose is to define composition operators acting upon Hardy spaces of Riemann surfaces. In terms of counting functions related to analytic self-map on Riemann surfaces, the boundedness and compactness are characterized. 相似文献
15.
Stevo Stevi? 《Applied mathematics and computation》2010,217(6):2870-2876
Let D be a bounded symmetric domain. We calculate operator norm of the multiplication operator on the Hardy space Hp(D), as well as of the weighted composition operator from Hp(D) to a weighted-type space. 相似文献
16.
17.
Thomas Kühn Mieczys?aw Masty?o 《Journal of Mathematical Analysis and Applications》2010,369(1):408-1265
We estimate Weyl numbers and eigenvalues of operators via studying their abstract summing norms. In particular we prove estimates of these summing norms for abstract interpolation Lorentz spaces. For this we combine factorization theorems with estimates of concavity constants. Finally we apply our general eigenvalue results to integral operators with kernels of weakly singular type. We obtain asymptotically optimal estimates which extend the well-known classical results. 相似文献
18.
19.
G. Lechner D. Li H. Queffélec L. Rodríguez-Piazza 《Journal of Functional Analysis》2018,274(7):1928-1958
We study the approximation numbers of weighted composition operators on the Hardy space on the unit disc. For general classes of such operators, upper and lower bounds on their approximation numbers are derived. For the special class of weighted lens map composition operators with specific weights, we show how much the weight w can improve the decay rate of the approximation numbers, and give sharp upper and lower bounds. These examples are motivated from applications to the analysis of relative commutants of special inclusions of von Neumann algebras appearing in quantum field theory (Borchers triples). 相似文献
20.
Gajath Gunatillake Mirjana Jovovic Wayne Smith 《Journal of Mathematical Analysis and Applications》2014
The operator that takes the function f to ψf°φ is a weighted composition operator. We study numerical ranges of some classes of weighted composition operators on H2, the Hardy–Hilbert space of the unit disc. We consider the case where φ is a rotation of the unit disc and identify a class of convexoid operators. In the case of isometric weighted composition operators we give a complete classification of their numerical ranges. We also consider the inclusion of zero in the interior of the numerical range. 相似文献