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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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Generalized Mixed Morrey Spaces
Mathematical Methods in the Applied SciencesABSTRACTIn this paper, we introduce the generalized mixed Morrey spaces. We show that a generalized mixed Morrey space is the dual of a generalized mixed Hardy space. For a large class of generalized fractional integral operators, we give a necessary and sufficient condition for such operators to be bounded from one generalized mixed Morrey space to ...
Hongli Yu, Wenchang Sun
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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
Iida, Takeshi +2 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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VOLTERRA INTEGRAL OPERATORS FROM MORREY-TYPE SPACES TO DIRICHLET–MORREY TYPE SPACES
Journal of Integral Equations and Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Embeddings for Morrey–Lorentz Spaces
Journal of Optimization Theory and Applications, 2012The paper contains a generalization of Lorentz spaces, with the corresponding refinements for Lebesgue and Morrey spaces.
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Oblique Derivative Problem in Morrey Spaces
1999We present some recent results on strong solvability and global regularity in Morrey spaces W^(2,p,\lambda) for the regular oblique derivative problem for second order uniformly elliptic operators with principal coefficients belonging to the Sarason class VMO of functions with vanishing mean oscillation.
PALAGACHEV D., RAGUSA, Maria Alessandra
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