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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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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
Iida, Takeshi +2 more
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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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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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Bourgain–Morrey spaces meet structure of Triebel–Lizorkin spaces
Mathematische Zeitschrift, 2023Pingxu Hu, Yinqin Li, Dachun Yang
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Grand Herz–Morrey Spaces with Variable Exponent
Mathematical Notes, 2023M. Sultan, B. Sultan, A. Hussain
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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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