Results 201 to 210 of about 11,803 (243)
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Grand Morrey Spaces and Grand Hardy–Morrey Spaces on Euclidean Space
The Journal of Geometric Analysis, 2023In this paper, the author introduces and investigates grand Morrey spaces and grand Hardy-Morrey spaces on \(\mathbb R^n\). He shows that whenever a grand Morrey space satisfies some mild conditions, the characteristic functions of balls belong to a grand Morrey space. Hence, a grand Morrey space is a ball Banach function space.
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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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Generalized Morrey Spaces – Revisited
Zeitschrift für Analysis und ihre Anwendungen, 2017The 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
Akbulut, Ali +3 more
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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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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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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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