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If \(f\) is a Lebesgue measurable function on the real line \(R\) and \[ \int_R{\bigl|f(z)\bigr|dx\over 1+x^2}
Zhijian Wu, Chunping Xie
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Summary: We discuss the boundedness of linear and sublinear operators in two types of weighted local Morrey spaces. One is defined by \textit{N. Samko} [Proc. A. Razmadze Math. Inst. 148, 51--68 (2008; Zbl 1163.45004)]. The other is defined by \textit{Y. Komori} and \textit{S. Shirai} [Math. Nachr. 282, No. 2, 219--231 (2009; Zbl 1160.42008)].
Nakamura S., Sawano Y., Tanaka H.
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On geometric properties of Morrey spaces [PDF]
In this article, we show constructively that Morrey spaces are not uniformly non-$\ell^1_n$ for any $n\ge 2$. This result is sharper than those previously obtained in \cite{GKSS, MG}, which show that Morrey spaces are not uniformly non-square and also not uniformly non-octahedral.
Hendra Gunawan+2 more
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We first introduce some new Morrey type spaces containing generalized Morrey space and weighted Morrey space as special cases. Then, we discuss the strong-type and weak-type estimates for a class of Calderón–Zygmund type operators Tθ in these new Morrey ...
Hua Wang
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Commutators of Hardy-Littlewood operators on p-adic function spaces with variable exponents
In this article, we obtain some sufficient conditions for the boundedness of commutators of pp-adic Hardy-Littlewood operators with symbols in central bounded mean oscillation space and Lipschitz space on the pp-adic function spaces with variable ...
Dung Kieu Huu, Thuy Pham Thi Kim
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Composition Operators and the Closure of Morrey Space in the Bloch Space
In this paper, we characterize the closure of the Morrey space in the Bloch space. Furthermore, the boundedness and compactness of composition operators from the Bloch space to the closure of the Morrey space in the Bloch space are investigated.
Nanhui Hu, Xiangling Zhu
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In this paper, we first introduce some new Morrey-type spaces containing generalized Morrey space and weighted Morrey space with two weights as special cases. Then we give the weighted strong type and weak type estimates for fractional integral operators
Hua Wang
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Rademacher functions in Morrey spaces
submitted
Lech Maligranda+2 more
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Some estimates for the commutators of multilinear maximal function on Morrey-type space
In this paper, we study the equivalent conditions for the boundedness of the commutators generated by the multilinear maximal function and the bounded mean oscillation (BMO) function on Morrey space.
Yu Xiao, Zhang Pu, Li Hongliang
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Weighted Hardy operators in local generalized Orlicz-Morrey spaces
In this paper, we find sufficient conditions on general Young functions $(\Phi, \Psi)$ and the functions $(\varphi_1,\varphi_2)$ ensuring that the weighted Hardy operators $A_\omega^\alpha$ and ${\mathcal A}_\omega^\alpha$ are of strong type from a local
C. Aykol, Z.O. Azizova, J.J. Hasanov
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