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Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
In this article, we study the boundedness of the fractional Rough Hardy operator and its adjoint operators on the central Morrey space with a variable exponent. We also establish the same boundedness for their commutators when the symbol functions are on
Muhammad Asim, Ferit Gürbüz
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In this article, we study the boundedness of the fractional Rough Hardy operator and its adjoint operators on the central Morrey space with a variable exponent. We also establish the same boundedness for their commutators when the symbol functions are on
Muhammad Asim, Ferit Gürbüz
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Potential Analysis, 2012
The author gives a necessary and sufficient condition of pointwise multipliers between Morrey spaces. The Morrey space \(\dot{M}^{p,q}=\dot{M}^{p,q}(\mathbb{R}^d)\) is defined by \[ \sup_{Q \in \mathcal{Q}}R_{Q}^{d/q-d/p}\biggl(\int_{Q}|f(x)|^p \;dx \biggr)^{1/p}< \infty \] with the norm \(||f||_{\dot{M}^{p,q}}=\sup_{Q \in \mathcal{Q}}R_{Q}^{d/q-d/p ...
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The author gives a necessary and sufficient condition of pointwise multipliers between Morrey spaces. The Morrey space \(\dot{M}^{p,q}=\dot{M}^{p,q}(\mathbb{R}^d)\) is defined by \[ \sup_{Q \in \mathcal{Q}}R_{Q}^{d/q-d/p}\biggl(\int_{Q}|f(x)|^p \;dx \biggr)^{1/p}< \infty \] with the norm \(||f||_{\dot{M}^{p,q}}=\sup_{Q \in \mathcal{Q}}R_{Q}^{d/q-d/p ...
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Dirichlet-Morrey type spaces and Volterra integral operators
Journal of Nonlinear and Variational Analysis, 2022Let $ 0 \lt p \lt \infty ...
Xiangling Zhu, Lian Hu, Dan Qu
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Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces for nondoubling measures
Mathematische Nachrichten, 2009AbstractWe define Morrey type Besov‐Triebel spaces with the underlying measure non‐doubling. After defining the function spaces, we investigate boundedness property of some class of the singular integral operators (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Sawano, Yoshihiro, Tanaka, Hitoshi
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Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces on domains
Mathematische Nachrichten, 2010AbstractThe purpose of this paper is to develop a theory of the Besov‐Morrey spaces and the Triebel‐Lizorkin‐Morrey spaces on domains in Rn. We consider the pointwise multiplier operator, the trace operator, the extension operator and the diffeomorphism operator.
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Atomic Decomposition for Morrey Spaces
Zeitschrift für Analysis und ihre Anwendungen, 2014The Hardy space H^p ({\mathbb R}^n) substitutes for the Lebesgue space L^p ({\mathbb R}^n) . When p>1 , then the Hardy space H^p ({\mathbb R}^n)
Iida, Takeshi +2 more
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Weighted Morrey–Herz space estimates for rough Hausdorff operator and its commutators
Journal of Pseudo-Differential Operators and Applications, 2018In this paper, we give necessary and sufficient conditions for the boundedness of rough Hausdorff operators on Herz, Morrey and Morrey–Herz spaces with absolutely homogeneous weights.
N. Chuong, D. Duong, N. D. Duyet
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Cesàro-type operators on Bergman–Morrey spaces and Dirichlet–Morrey spaces
Proceedings of the Edinburgh Mathematical SocietyAbstractIn this paper, we will show the Carleson measure characterizations for the boundedness and compactness of the Cesàro-type operator \begin{equation*}\mathcal{C}_{\mu}(f)(z)=\sum^{\infty}_{n=0}\left( \int_{[0,1)}t^nd\mu(t)\right) \left(\sum^{n}_{k=0}a_k \right)z^n, \quad z\in \mathbb{D},\end{equation*}acting on a number of important analytic ...
Xie, Huayou, Lin, Qingze, Liu, Junming
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On inclusion relation between weak Morrey spaces and Morrey spaces
Nonlinear Analysis, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hendra Gunawan +3 more
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TILING MORREY SPACES AND WEIGHTED MORREY SPACES
International Conference on Modern Problems of Mathematics, Mechanics and their ApplicationsAbstract. We consider the boundedness property of the operator on weighted Morrey spaces. It is still an open problem to have a complete Muckenhoupt type characterization for Morrey spaces. This talk is address to this problem together with some related observations. We use tiling Morrey spaces.
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