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Multipliers and Morrey Spaces

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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Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces for nondoubling measures

Mathematische Nachrichten, 2009
AbstractWe 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, 2010
AbstractThe 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, 2014
The 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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On inclusion relation between weak Morrey spaces and Morrey spaces

Nonlinear Analysis, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hendra Gunawan   +3 more
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Generalized Mixed Morrey Spaces

Mathematical Methods in the Applied Sciences
ABSTRACTIn 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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Generalized Morrey Spaces – Revisited

Zeitschrift für Analysis und ihre Anwendungen, 2017
The generalized Morrey space {\mathcal M}_{p,\phi}({\mathbb R}^n) was defined by Mizuhara 1991 and Nakai in 1994. It is equipped with a parameter 0 < p < \infty and a function \phi:{\mathbb R}^n ...
Akbulut, Ali   +3 more
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A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces

Acta Mathematica Sinica, English Series, 2009
The author extends some known results on the Besov-Morrey spaces and the Triebel-Lizorkin-Morrey spaces. That is, it is obtained the characterization of local means, the boundedness of pseudo-differential operators and the characterization of the Hardy-Morrey spaces. The technique is based on maximal estimates and the molecular decomposition.
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Bourgain–Morrey spaces meet structure of Triebel–Lizorkin spaces

Mathematische Zeitschrift, 2023
Pingxu Hu, Yinqin Li, Dachun Yang
semanticscholar   +1 more source

Grand Herz–Morrey Spaces with Variable Exponent

Mathematical Notes, 2023
M. Sultan, B. Sultan, A. Hussain
semanticscholar   +1 more source

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