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A family of Dirichlet–Morrey spaces [PDF]
To each weighted Dirichlet space $\mathcal{D}_p ...
Galanopoulos, Petros +2 more
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In this paper, we introduce the generalized grand Morrey spaces in the framework of probability space setting in the spirit of the martingale theory and grand Morrey spaces.
Libo Li, Zhiwei Hao, Xinru Ding
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Generalized Hardy–Morrey Spaces [PDF]
This paper is an off-spring of the contribution [Z. Anal. Anwend. 36 (2017)(1), 17–35]. We propose a way to consider the decomposition method of generalized Hardy–Morrey spaces. Generalized Hardy–Morrey spaces emerged from generalized Morrey spaces.
Akbulut, Ali +3 more
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Boundedness of the Maximal, Potential and Singular Operators in the Generalized Morrey Spaces
We consider generalized Morrey spaces ℳp,ω(ℝn) with a general function ω(x,r) defining the Morrey-type norm. We find the conditions on the pair (ω1,ω2) which ensures the boundedness of the maximal operator and ...
Vagif S. Guliyev
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Morrey Spaces are Embedded Between Weak Morrey Spaces and Stummel Classes [PDF]
In this paper, we show that the Morrey spaces $ L^{1,\left( \frac{\lambda}{p} -\frac{n}{p} + n \right) } \left( \mathbb{R}^{n} \right) $ are embedded betweenweak Morrey spaces $ wL^{p,\lambda}\left( \mathbb{R}^{n} \right) $ and Stummelclasses $ S_{\alpha}\left( \mathbb{R}^{n} \right) $ under some conditions on$ p, \lambda $ and $ \alpha $.
Tumalun, Nicky K., Gunawan, Hendra
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Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces
Let X,d,μ be a nonhomogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. In this setting, the author proves that parameter θ-type Marcinkiewicz integral Mθρ is bounded on the weighted
Guanghui Lu
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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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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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