Strong approximation of Fourier series on generalized periodic Morrey spaces
In recent years, a lot of attention has been paid to study of Morrey type spaces. Many applications in partial differential equation of Morrey spaces and Lizorkin-Triebel spaces have been given in work G.Di Fazioand, M.
A.N. Adilkhanov +2 more
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Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces [PDF]
The aim of the paper is twofold. First, we present a new general approach to the definition of a class of mixed norm spaces of analytic functions A(q;X)(D), 1
Karapetyants, Alexey, Samko, Stefan
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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}
Wu, Zhijian, Xie, Chunping
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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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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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Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces
In this paper, we establish some boundedness conditions for the multidimensional Hausdorff operator on the homogeneous Hardy-Morrey and on the Besov-Morrey space, and we extend some results in the recent papers by Jia and Wang, and by Mazzucato ...
Belay Mitiku Damtew
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On the Riesz potential and its commutators on generalized Orlicz-Morrey spaces [PDF]
We consider generalized Orlicz-Morrey spaces $M_{\Phi,\varphi}(\Rn)$ including their weak versions $WM_{\Phi,\varphi}(\Rn)$. In these spaces we prove the boundedness of the Riesz potential from $M_{\Phi,\varphi_1}(\Rn)$ to $M_{\Psi,\varphi_2}(\Rn)$ and ...
Deringoz, Fatih, Guliyev, Vagif S.
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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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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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Variable Exponent Besov–Morrey Spaces [PDF]
In this paper we introduce Besov-Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and atomic and molecular decompositions. This new scale of non-standard function spaces requires the introduction of variable exponent mixed Morrey-sequence spaces, which in ...
Almeida, Alexandre, Caetano, António
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