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Decompositions of Besov–Morrey spaces and Triebel–Lizorkin–Morrey spaces [PDF]
Mathematische Zeitschrift, 2007 The authors define the Besov-Morrey spaces and the Triebel-Lizorkin-Morrey spaces of functions on \(\mathbb R^n\). The corresponding atomic decompositions are obtained.
Yoshihiro Sawano +2 more
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Herz Spaces Meet Morrey Type Spaces and Complementary Morrey Type Spaces
Journal of Fourier Analysis and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Humberto Rafeiro, Stefan Samko
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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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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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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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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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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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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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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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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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