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1.
The operator norms of weighted Hardy operators on Morrey spaces are worked out. The other purpose of this paper is to establish
a sufficient and necessary condition on weight functions which ensures the boundedness of the commutators of weighted Hardy
operators (with symbols in BMO(ℝ
n
)) on Morrey spaces. 相似文献
2.
Lars-Erik Persson 《Journal of Mathematical Analysis and Applications》2011,377(2):792-806
We study the weighted p→q-boundedness of the multi-dimensional Hardy type operators in the generalized Morrey spaces Lp,φ(Rn,w) defined by an almost increasing function φ(r) and radial type weight w(|x|). We obtain sufficient conditions, in terms of some integral inequalities imposed on φ and w, for such a p→q-boundedness. In some cases the obtained conditions are also necessary. These results are applied to derive a similar weighted p→q-boundedness of the Riesz potential operator. 相似文献
3.
In this paper we give the conditions on the pair (ω
1, ω
2) which ensures the boundedness of the anisotropic maximal operator and anisotropic singular integral operators from one generalized
Morrey space Mp,w1 \mathcal{M}_{p,\omega _1 } to another Mp,w2 \mathcal{M}_{p,\omega _2 }, 1 < p < g8, and from the space M1,w1 \mathcal{M}_{1,\omega _1 } to the weak space WM1,w2 W\mathcal{M}_{1,\omega _2 }. 相似文献
4.
Xingsong ZHANG Mingquan WEI Dunyan YAN Qianjun HE 《Frontiers of Mathematics in China》2020,15(1):215-223
We will prove that for 1
相似文献
5.
In this paper, we shall introduce a weighted Morrey space and study the several properties of classical operatorsin harmonic analysis on this space (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
6.
Shohei Nakamura 《Mathematische Nachrichten》2016,289(17-18):2235-2262
We introduce the notion of generalized weighted Morrey spaces and investigate the boundedness of some operators in these spaces, such as the Hardy–Littlewood maximal operator, generalized fractional maximal operators, generalized fractional integral operators, and singular integral operators. We also study their boundedness in the vector‐valued setting. 相似文献
7.
Bounded weighted composition operators acting from Hardy to growth spaces on the upper half-plane are characterized. We also give some necessary, as well as some sufficient conditions for the compactness of weighted composition operators between these spaces. 相似文献
8.
D. Lukkassen A. Meidell L.‐E. Persson N. Samko 《Mathematical Methods in the Applied Sciences》2012,35(11):1300-1311
We study the weighted boundedness of the multi‐dimensional Hardy‐type and singular operators in the generalized Morrey spaces , defined by an almost increasing function φ(r) and radial type weights. We obtain sufficient conditions, in terms of numerical characteristics, that is, index numbers of the weight functions and the function φ. In relation with the wide usage of singular integral equations in applications, we show how the solvability of such equations in the generalized Morrey spaces depends on the main characteristics of the space, which allows to better control both the singularities and regularity of solutions. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
9.
Let 0<p≤1<q<0, andw
1
,w
2
∈ A
1
(Muckenhoupt-class). In this paper the authors prove that the strongly singular convolution operators are bounded from the
homogeneous weighted Herz-type Hardy spacesH Kα, p
q(w1; w2) to the homogeneous weighted Herz spacesK
α, p
q
(w1; w2), provided α=n(1−1/q). Moreover, the boundedness of these operators on the non-homogeneous weighted Herz-type Hardy spacesH K
α, p
q
(w
1;w
2) is also investigated.
Supported by the National Natural Science Foundation of China 相似文献
10.
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
11.
In this note, we characterize the boundedness of the Volterra type operator T g and its related integral operator I g on analytic Morrey spaces. Furthermore, the norm and essential norm of those operators are given. As a corollary, we get the compactness of those operators. 相似文献
12.
Let L be an elliptic operator, we give arguments about the duality estimate between Morrey spaces and its pre-dual spaces characterized by the heat kernel associated to L that is given in [6],[8]. 相似文献
13.
We give necessary and sufficient conditions for the boundedness of generalized fractional integral and maximal operators on Orlicz–Morrey and weak Orlicz–Morrey spaces. To do this, we prove the weak–weak type modular inequality of the Hardy–Littlewood maximal operator with respect to the Young function. Orlicz–Morrey spaces contain spaces (), Orlicz spaces, and generalized Morrey spaces as special cases. Hence, we get necessary and sufficient conditions on these function spaces as corollaries. 相似文献
14.
Let A be an expansive dilation. We define weakly strongly singular integral kernels and study the action of the operators induced by these kernels on anisotropic Hardy spaces associated with A. 相似文献
15.
一类次线性算子在广义Morrey空间上的加权有界性 总被引:1,自引:0,他引:1
本证明了如果次线性算子T在Orlicz空间上有介,则也有Morrey空间上有界,该算子包括极大算子和奇异积分算子等重要算子。 相似文献
16.
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
17.
Valentin Matache 《Proceedings of the American Mathematical Society》1999,127(5):1483-1491
We consider composition operators on Hardy spaces of a half-plane. We mainly study boundedness and compactness. We prove that on these spaces there are no compact composition operators.
18.
本文主要建立由分数次积分$I_{\gamma}$与函数$b\in\mathrm{Lip}_{\beta}(\mu)$生成的交换子$[b, I_{\gamma}]$在以满足几何双倍与上部双倍条件的非齐度量测度空间为底空间的Morrey空间上紧性的充要条件.在假设控制函数$\lambda$满足逆双倍条件下,证明了交换子$[b,I_{\gamma}]$为从Morrey空间$M^{p}_{q}(\mu)$到$M^{s}_{t}(\mu)$紧性当且仅当$b\in\mathrm{Lip}_{\beta}(\mu)$. 相似文献
19.
20.
FU ZunWei LU ShanZhen & ZHAO FaYou School of Mathematical Sciences Beijing Normal University Beijing China 《中国科学 数学(英文版)》2011,(1)
In this paper, we study central BMO estimates for commutators of n-dimensional rough Hardy operators. Furthermore, λ-central BMO estimates for commutators on central Morrey spaces are discussed. 相似文献