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Weighted multilinear hardy operators on Herz type spaces. [PDF]

open access: yesScientificWorldJournal, 2014
This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey-Herz spaces, respectively. We present a sufficient condition on the weight function that guarantees weighted multilinear Hardy operators to be bounded on the product Herz spaces.
Gong S, Fu Z, Ma B.
europepmc   +5 more sources

Weighted Grand Herz-Type Spaces and Its Applications

open access: yesJournal of Function Spaces, 2022
In this paper, we introduce the weighted grand Herz spaces and weighted grand Herz-type Hardy spaces. The decompositional characterizations of these spaces are established. As its applications, the boundedness of some sublinear operators are established.
Xia Yu, Zongguang Liu
openaire   +2 more sources

Weighted Herz Spaces and Regularity Results [PDF]

open access: yesJournal of Function Spaces and Applications, 2012
Summary: It is proved that, for the nondivergence form elliptic equations \(\sum^n_{i, j=1} a_{ij} u_{x_i x_j} = f\), if \(f\) belongs to the weighted Herz spaces \(K^q_p(\varphi, w)\), then \(u_{x_i x_j} \in K^q_p(\varphi, w)\), where \(u\) is the \(W^{2,p}\)-solution of the equations.
Yuxing Guo, Yinsheng Jiang
openaire   +3 more sources

Hardy Operators and Commutators on Weighted Herz Spaces

open access: yesAnalysis in Theory and Applications, 2023
Summary: Let \(P\) be the classical Hardy operator on \((0, \infty)\) and \(Q\) be the adjoint operator. In this paper, we get the boundedness for \(P\), \(Q\) and the commutators of \(P\) and \(Q\) with \(CMO\) functions on the weighted Herz spaces.
Hu, Jingling, Peng, Yangke, Li, Wenming
openaire   +1 more source

WEIGHTED LIPSCHITZ ESTIMATES FOR COMMUTATORS ON WEIGHTED MORREY-HERZ SPACES [PDF]

open access: yesTaiwanese Journal of Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Yan, Liu, Zongguang, Xu, Na
openaire   +2 more sources

Commutators of Multilinear Singular Integrals on Weighted Herz Spaces [PDF]

open access: yesJournal of Function Spaces, 2015
Supposeb→=(b1,…,bm)∈(BMO)m,TΠbis the iterated commutator ofb→and them-linear Calderón-Zygmund operatorT. The purpose of this paper is to discuss the boundedness properties ofTΠbon weighted Herz spaces with general Muckenhoupt weights.
Baozhen Wang, Huimin Wang
openaire   +3 more sources

The Bergman projection on weighted spaces: L1and Herz spaces [PDF]

open access: yesStudia Mathematica, 2002
The authors consider spaces of analytic functions on the unit disc provided with a norm of a weighted Herz space. More precisely, they study the classical family of Bergman projections \(P_s\), \(s>-1\), and give necessary and sufficient conditions on the radial weight \(w\) making these projections continuous in the corresponding weighted Herz space ...
Blasco, Oscar, Pérez-Esteva, Salvador
openaire   +1 more source

Wavelet characterizations of weighted Herz spaces [PDF]

open access: yes, 2007
We characterize the homogeneous weighted Herz space ˙K α,p q (w1,w2) and the non-homogeneous weighted Herz space Kα,p q (w1,w2) using wavelets in C1(Rn) with compact support.
Izuki, Mitsuo, Tachizawa, Kazuya
core   +1 more source

Boundedness of several operators on weighted Herz spaces [PDF]

open access: yesJournal of Function Spaces, 2009
We consider the boundedness of singular integral operators and fractional integral operators on weighted Herz spaces. For this purpose we introduce generalized Herz space. Our results are the best possible.
Yasuo Komori, Katsuo Matsuoka
openaire   +2 more sources

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