Results 211 to 220 of about 11,627 (244)
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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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Potential Analysis, 2012
We study the pointwise multipliers from one Morrey space to another Morrey space. We give a necessary and sufficient condition to grant that the space of those multipliers is a Morrey space as well.
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We study the pointwise multipliers from one Morrey space to another Morrey space. We give a necessary and sufficient condition to grant that the space of those multipliers is a Morrey space as well.
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1991
A locally \(L^ p\) function \(f\) is said to belong to the Morrey space \(L^{p,\lambda}(\mathbb{R}^ n)\) if \[ \| f\|_{p,\lambda}^ p=\sup_{x,\rho}\rho^{ -\lambda}\int_{| x-y|\leq \rho}| f(y)|^ p ...
DI FAZIO, Giuseppe +1 more
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A locally \(L^ p\) function \(f\) is said to belong to the Morrey space \(L^{p,\lambda}(\mathbb{R}^ n)\) if \[ \| f\|_{p,\lambda}^ p=\sup_{x,\rho}\rho^{ -\lambda}\int_{| x-y|\leq \rho}| f(y)|^ p ...
DI FAZIO, Giuseppe +1 more
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A characterization of the Morrey-Campanato spaces
Mathematische Zeitschrift, 2005Let \(\varphi\) be a Schwartz function satisfying the following two conditions: (1) For a fixed \(s\in\mathbb Z^+\), \(\int_{\mathbb R^n}\varphi(x)\,dx=1\) and \(\int_{\mathbb R^n}\varphi(x)x^\theta\,dx=0\) for \(00\) such that \(\hat\Phi(t\xi)\neq0\). For \(t>0\), set \(\varphi_t(x)=t^{-n}\varphi(x/t)\).
Xuan Thinh Duong +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)
Yoshihiro Sawano, Hitoshi Tanaka
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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 and a function \phi:{\mathbb R}^n ...
Akbulut, Ali +3 more
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Embeddings for Morrey–Lorentz Spaces
Journal of Optimization Theory and Applications, 2012In this paper, new classes of functions are defined. These spaces generalize Lorentz spaces and give a refinement of Lebesgue spaces, weak-Lebesgue spaces, and Morrey spaces. Some embeddings between these new classes are also proved.
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Interpolation of Morrey Spaces
2015Now we turn our attention to interpolation of linear operators on Morrey spaces, say $$\displaystyle{ T: L^{p,\lambda }\longrightarrow L^{q,\mu } }$$ for various p, q, λ, and μ; 1 < p, q < ∞, 0 < λ, μ < n.
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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